Finding the Third Proportional to 38,516 and 57,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,516 : 57,454.50 = 57,454.50 : x
2. Step 2: Convert to fraction form
   38,516/57,454.50 = 57,454.50/x
3. Step 3: Cross multiply
   38,516x = 57,454.50 × 57,454.50
4. Step 4: Simplify right side
   38,516x = 3,301,019,570.25
5. Step 5: Solve for x
   x = 3,301,019,570.25/38,516
6. Step 6: Final answer
   x = 85,705.15