Finding the Third Proportional to 14,186 and 31,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,186 : 31,166.50 = 31,166.50 : x
2. Step 2: Convert to fraction form
   14,186/31,166.50 = 31,166.50/x
3. Step 3: Cross multiply
   14,186x = 31,166.50 × 31,166.50
4. Step 4: Simplify right side
   14,186x = 971,350,722.25
5. Step 5: Solve for x
   x = 971,350,722.25/14,186
6. Step 6: Final answer
   x = 68,472.49