Finding the Third Proportional to 32,832 and 67,999.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,832 : 67,999.50 = 67,999.50 : x
2. Step 2: Convert to fraction form
   32,832/67,999.50 = 67,999.50/x
3. Step 3: Cross multiply
   32,832x = 67,999.50 × 67,999.50
4. Step 4: Simplify right side
   32,832x = 4,623,932,000.25
5. Step 5: Solve for x
   x = 4,623,932,000.25/32,832
6. Step 6: Final answer
   x = 140,836.14