Finding the Third Proportional to 38,138 and 58,342

Step by Step Solution

1. Step 1: Write the proportion equation
   38,138 : 58,342 = 58,342 : x
2. Step 2: Convert to fraction form
   38,138/58,342 = 58,342/x
3. Step 3: Cross multiply
   38,138x = 58,342 × 58,342
4. Step 4: Simplify right side
   38,138x = 3,403,788,964
5. Step 5: Solve for x
   x = 3,403,788,964/38,138
6. Step 6: Final answer
   x = 89,249.28