Finding the Third Proportional to 38,292 and 59,142

Step by Step Solution

1. Step 1: Write the proportion equation
   38,292 : 59,142 = 59,142 : x
2. Step 2: Convert to fraction form
   38,292/59,142 = 59,142/x
3. Step 3: Cross multiply
   38,292x = 59,142 × 59,142
4. Step 4: Simplify right side
   38,292x = 3,497,776,164
5. Step 5: Solve for x
   x = 3,497,776,164/38,292
6. Step 6: Final answer
   x = 91,344.83