Finding the Third Proportional to 38,616.75 and 83,541.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,616.75 : 83,541.38 = 83,541.38 : x
2. Step 2: Convert to fraction form
   38,616.75/83,541.38 = 83,541.38/x
3. Step 3: Cross multiply
   38,616.75x = 83,541.38 × 83,541.38
4. Step 4: Simplify right side
   38,616.75x = 6,979,161,336.89
5. Step 5: Solve for x
   x = 6,979,161,336.89/38,616.75
6. Step 6: Final answer
   x = 180,728.86