Finding the Third Proportional to 27,282 and 59,468

Step by Step Solution

1. Step 1: Write the proportion equation
   27,282 : 59,468 = 59,468 : x
2. Step 2: Convert to fraction form
   27,282/59,468 = 59,468/x
3. Step 3: Cross multiply
   27,282x = 59,468 × 59,468
4. Step 4: Simplify right side
   27,282x = 3,536,443,024
5. Step 5: Solve for x
   x = 3,536,443,024/27,282
6. Step 6: Final answer
   x = 129,625.50