Finding the Third Proportional to 39,409 and 59,123

Step by Step Solution

1. Step 1: Write the proportion equation
   39,409 : 59,123 = 59,123 : x
2. Step 2: Convert to fraction form
   39,409/59,123 = 59,123/x
3. Step 3: Cross multiply
   39,409x = 59,123 × 59,123
4. Step 4: Simplify right side
   39,409x = 3,495,529,129
5. Step 5: Solve for x
   x = 3,495,529,129/39,409
6. Step 6: Final answer
   x = 88,698.75