Finding the Third Proportional to 31,666 and 49,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,666 : 49,415.50 = 49,415.50 : x
2. Step 2: Convert to fraction form
   31,666/49,415.50 = 49,415.50/x
3. Step 3: Cross multiply
   31,666x = 49,415.50 × 49,415.50
4. Step 4: Simplify right side
   31,666x = 2,441,891,640.25
5. Step 5: Solve for x
   x = 2,441,891,640.25/31,666
6. Step 6: Final answer
   x = 77,113.99