Finding the Third Proportional to 31,387.50 and 46,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,387.50 : 46,538.25 = 46,538.25 : x
2. Step 2: Convert to fraction form
   31,387.50/46,538.25 = 46,538.25/x
3. Step 3: Cross multiply
   31,387.50x = 46,538.25 × 46,538.25
4. Step 4: Simplify right side
   31,387.50x = 2,165,808,713.06
5. Step 5: Solve for x
   x = 2,165,808,713.06/31,387.50
6. Step 6: Final answer
   x = 69,002.27