Finding the Third Proportional to 49,566 and 71,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,566 : 71,032.50 = 71,032.50 : x
2. Step 2: Convert to fraction form
   49,566/71,032.50 = 71,032.50/x
3. Step 3: Cross multiply
   49,566x = 71,032.50 × 71,032.50
4. Step 4: Simplify right side
   49,566x = 5,045,616,056.25
5. Step 5: Solve for x
   x = 5,045,616,056.25/49,566
6. Step 6: Final answer
   x = 101,795.91