Finding the Third Proportional to 38,100 and 58,626

Step by Step Solution

1. Step 1: Write the proportion equation
   38,100 : 58,626 = 58,626 : x
2. Step 2: Convert to fraction form
   38,100/58,626 = 58,626/x
3. Step 3: Cross multiply
   38,100x = 58,626 × 58,626
4. Step 4: Simplify right side
   38,100x = 3,437,007,876
5. Step 5: Solve for x
   x = 3,437,007,876/38,100
6. Step 6: Final answer
   x = 90,210.18