Finding the Third Proportional to 47,007 and 100,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,007 : 100,567.50 = 100,567.50 : x
2. Step 2: Convert to fraction form
   47,007/100,567.50 = 100,567.50/x
3. Step 3: Cross multiply
   47,007x = 100,567.50 × 100,567.50
4. Step 4: Simplify right side
   47,007x = 10,113,822,056.25
5. Step 5: Solve for x
   x = 10,113,822,056.25/47,007
6. Step 6: Final answer
   x = 215,155.66