Finding the Third Proportional to 38,099 and 58,116

Step by Step Solution

1. Step 1: Write the proportion equation
   38,099 : 58,116 = 58,116 : x
2. Step 2: Convert to fraction form
   38,099/58,116 = 58,116/x
3. Step 3: Cross multiply
   38,099x = 58,116 × 58,116
4. Step 4: Simplify right side
   38,099x = 3,377,469,456
5. Step 5: Solve for x
   x = 3,377,469,456/38,099
6. Step 6: Final answer
   x = 88,649.82