Finding the Third Proportional to 31,586.63 and 68,234.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31,586.63 : 68,234.06 = 68,234.06 : x
2. Step 2: Convert to fraction form
   31,586.63/68,234.06 = 68,234.06/x
3. Step 3: Cross multiply
   31,586.63x = 68,234.06 × 68,234.06
4. Step 4: Simplify right side
   31,586.63x = 4,655,887,285.25
5. Step 5: Solve for x
   x = 4,655,887,285.25/31,586.63
6. Step 6: Final answer
   x = 147,400.59