Finding the Third Proportional to 31,685 and 46,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,685 : 46,375.50 = 46,375.50 : x
2. Step 2: Convert to fraction form
   31,685/46,375.50 = 46,375.50/x
3. Step 3: Cross multiply
   31,685x = 46,375.50 × 46,375.50
4. Step 4: Simplify right side
   31,685x = 2,150,687,000.25
5. Step 5: Solve for x
   x = 2,150,687,000.25/31,685
6. Step 6: Final answer
   x = 67,877.13