Finding the Third Proportional to 31,842 and 68,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,842 : 68,575.50 = 68,575.50 : x
2. Step 2: Convert to fraction form
   31,842/68,575.50 = 68,575.50/x
3. Step 3: Cross multiply
   31,842x = 68,575.50 × 68,575.50
4. Step 4: Simplify right side
   31,842x = 4,702,599,200.25
5. Step 5: Solve for x
   x = 4,702,599,200.25/31,842
6. Step 6: Final answer
   x = 147,685.42