Finding the Third Proportional to 5,006,578 and 10,278,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,006,578 : 10,278,567.50 = 10,278,567.50 : x
2. Step 2: Convert to fraction form
   5,006,578/10,278,567.50 = 10,278,567.50/x
3. Step 3: Cross multiply
   5,006,578x = 10,278,567.50 × 10,278,567.50
4. Step 4: Simplify right side
   5,006,578x = 105,648,949,852,056.25
5. Step 5: Solve for x
   x = 105,648,949,852,056.25/5,006,578
6. Step 6: Final answer
   x = 21,102,028.14