Finding the Third Proportional to 40,193 and 59,127

Step by Step Solution

1. Step 1: Write the proportion equation
   40,193 : 59,127 = 59,127 : x
2. Step 2: Convert to fraction form
   40,193/59,127 = 59,127/x
3. Step 3: Cross multiply
   40,193x = 59,127 × 59,127
4. Step 4: Simplify right side
   40,193x = 3,496,002,129
5. Step 5: Solve for x
   x = 3,496,002,129/40,193
6. Step 6: Final answer
   x = 86,980.37