Finding the Third Proportional to 10,578 and 22,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578 : 22,978.50 = 22,978.50 : x
2. Step 2: Convert to fraction form
   10,578/22,978.50 = 22,978.50/x
3. Step 3: Cross multiply
   10,578x = 22,978.50 × 22,978.50
4. Step 4: Simplify right side
   10,578x = 528,011,462.25
5. Step 5: Solve for x
   x = 528,011,462.25/10,578
6. Step 6: Final answer
   x = 49,916.00