Finding the Third Proportional to 38,466 and 58,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,466 : 58,216.50 = 58,216.50 : x
2. Step 2: Convert to fraction form
   38,466/58,216.50 = 58,216.50/x
3. Step 3: Cross multiply
   38,466x = 58,216.50 × 58,216.50
4. Step 4: Simplify right side
   38,466x = 3,389,160,872.25
5. Step 5: Solve for x
   x = 3,389,160,872.25/38,466
6. Step 6: Final answer
   x = 88,107.96