Finding the Third Proportional to 32,327 and 67,813

Step by Step Solution

1. Step 1: Write the proportion equation
   32,327 : 67,813 = 67,813 : x
2. Step 2: Convert to fraction form
   32,327/67,813 = 67,813/x
3. Step 3: Cross multiply
   32,327x = 67,813 × 67,813
4. Step 4: Simplify right side
   32,327x = 4,598,602,969
5. Step 5: Solve for x
   x = 4,598,602,969/32,327
6. Step 6: Final answer
   x = 142,252.70