Finding the Third Proportional to 38,842 and 58,105

Step by Step Solution

1. Step 1: Write the proportion equation
   38,842 : 58,105 = 58,105 : x
2. Step 2: Convert to fraction form
   38,842/58,105 = 58,105/x
3. Step 3: Cross multiply
   38,842x = 58,105 × 58,105
4. Step 4: Simplify right side
   38,842x = 3,376,191,025
5. Step 5: Solve for x
   x = 3,376,191,025/38,842
6. Step 6: Final answer
   x = 86,921.14