Finding the Third Proportional to 31,581 and 68,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,581 : 68,224.50 = 68,224.50 : x
2. Step 2: Convert to fraction form
   31,581/68,224.50 = 68,224.50/x
3. Step 3: Cross multiply
   31,581x = 68,224.50 × 68,224.50
4. Step 4: Simplify right side
   31,581x = 4,654,582,400.25
5. Step 5: Solve for x
   x = 4,654,582,400.25/31,581
6. Step 6: Final answer
   x = 147,385.53