Finding the Third Proportional to 31,586.50 and 68,069

Step by Step Solution

1. Step 1: Write the proportion equation
   31,586.50 : 68,069 = 68,069 : x
2. Step 2: Convert to fraction form
   31,586.50/68,069 = 68,069/x
3. Step 3: Cross multiply
   31,586.50x = 68,069 × 68,069
4. Step 4: Simplify right side
   31,586.50x = 4,633,388,761
5. Step 5: Solve for x
   x = 4,633,388,761/31,586.50
6. Step 6: Final answer
   x = 146,688.89