Finding the Third Proportional to 38,036 and 59,127

Step by Step Solution

1. Step 1: Write the proportion equation
   38,036 : 59,127 = 59,127 : x
2. Step 2: Convert to fraction form
   38,036/59,127 = 59,127/x
3. Step 3: Cross multiply
   38,036x = 59,127 × 59,127
4. Step 4: Simplify right side
   38,036x = 3,496,002,129
5. Step 5: Solve for x
   x = 3,496,002,129/38,036
6. Step 6: Final answer
   x = 91,912.98