Finding the Third Proportional to 27,294 and 59,262

Step by Step Solution

1. Step 1: Write the proportion equation
   27,294 : 59,262 = 59,262 : x
2. Step 2: Convert to fraction form
   27,294/59,262 = 59,262/x
3. Step 3: Cross multiply
   27,294x = 59,262 × 59,262
4. Step 4: Simplify right side
   27,294x = 3,511,984,644
5. Step 5: Solve for x
   x = 3,511,984,644/27,294
6. Step 6: Final answer
   x = 128,672.41