Finding the Third Proportional to 39,414 and 59,158

Step by Step Solution

1. Step 1: Write the proportion equation
   39,414 : 59,158 = 59,158 : x
2. Step 2: Convert to fraction form
   39,414/59,158 = 59,158/x
3. Step 3: Cross multiply
   39,414x = 59,158 × 59,158
4. Step 4: Simplify right side
   39,414x = 3,499,668,964
5. Step 5: Solve for x
   x = 3,499,668,964/39,414
6. Step 6: Final answer
   x = 88,792.53