Finding the Third Proportional to 14,311 and 31,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,311 : 31,164.50 = 31,164.50 : x
2. Step 2: Convert to fraction form
   14,311/31,164.50 = 31,164.50/x
3. Step 3: Cross multiply
   14,311x = 31,164.50 × 31,164.50
4. Step 4: Simplify right side
   14,311x = 971,226,060.25
5. Step 5: Solve for x
   x = 971,226,060.25/14,311
6. Step 6: Final answer
   x = 67,865.70