Finding the Third Proportional to 39,183.75 and 83,516.06

Step by Step Solution

1. Step 1: Write the proportion equation
   39,183.75 : 83,516.06 = 83,516.06 : x
2. Step 2: Convert to fraction form
   39,183.75/83,516.06 = 83,516.06/x
3. Step 3: Cross multiply
   39,183.75x = 83,516.06 × 83,516.06
4. Step 4: Simplify right side
   39,183.75x = 6,974,932,695.50
5. Step 5: Solve for x
   x = 6,974,932,695.50/39,183.75
6. Step 6: Final answer
   x = 178,005.75