Finding the Third Proportional to 31,689 and 44,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,689 : 44,302.50 = 44,302.50 : x
2. Step 2: Convert to fraction form
   31,689/44,302.50 = 44,302.50/x
3. Step 3: Cross multiply
   31,689x = 44,302.50 × 44,302.50
4. Step 4: Simplify right side
   31,689x = 1,962,711,506.25
5. Step 5: Solve for x
   x = 1,962,711,506.25/31,689
6. Step 6: Final answer
   x = 61,936.68