Finding the Third Proportional to 28,164 and 59,496

Step by Step Solution

1. Step 1: Write the proportion equation
   28,164 : 59,496 = 59,496 : x
2. Step 2: Convert to fraction form
   28,164/59,496 = 59,496/x
3. Step 3: Cross multiply
   28,164x = 59,496 × 59,496
4. Step 4: Simplify right side
   28,164x = 3,539,774,016
5. Step 5: Solve for x
   x = 3,539,774,016/28,164
6. Step 6: Final answer
   x = 125,684.35