Finding the Third Proportional to 32,014.50 and 68,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,014.50 : 68,767.50 = 68,767.50 : x
2. Step 2: Convert to fraction form
   32,014.50/68,767.50 = 68,767.50/x
3. Step 3: Cross multiply
   32,014.50x = 68,767.50 × 68,767.50
4. Step 4: Simplify right side
   32,014.50x = 4,728,969,056.25
5. Step 5: Solve for x
   x = 4,728,969,056.25/32,014.50
6. Step 6: Final answer
   x = 147,713.35