Finding the Third Proportional to 22,327 and 52,614

Step by Step Solution

1. Step 1: Write the proportion equation
   22,327 : 52,614 = 52,614 : x
2. Step 2: Convert to fraction form
   22,327/52,614 = 52,614/x
3. Step 3: Cross multiply
   22,327x = 52,614 × 52,614
4. Step 4: Simplify right side
   22,327x = 2,768,232,996
5. Step 5: Solve for x
   x = 2,768,232,996/22,327
6. Step 6: Final answer
   x = 123,985.89