Finding the Third Proportional to 38,096 and 58,110

Step by Step Solution

1. Step 1: Write the proportion equation
   38,096 : 58,110 = 58,110 : x
2. Step 2: Convert to fraction form
   38,096/58,110 = 58,110/x
3. Step 3: Cross multiply
   38,096x = 58,110 × 58,110
4. Step 4: Simplify right side
   38,096x = 3,376,772,100
5. Step 5: Solve for x
   x = 3,376,772,100/38,096
6. Step 6: Final answer
   x = 88,638.49