Finding the Third Proportional to 47,538 and 83,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,538 : 83,411.50 = 83,411.50 : x
2. Step 2: Convert to fraction form
   47,538/83,411.50 = 83,411.50/x
3. Step 3: Cross multiply
   47,538x = 83,411.50 × 83,411.50
4. Step 4: Simplify right side
   47,538x = 6,957,478,332.25
5. Step 5: Solve for x
   x = 6,957,478,332.25/47,538
6. Step 6: Final answer
   x = 146,356.14