Finding the Third Proportional to 38,804.50 and 83,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,804.50 : 83,142.75 = 83,142.75 : x
2. Step 2: Convert to fraction form
   38,804.50/83,142.75 = 83,142.75/x
3. Step 3: Cross multiply
   38,804.50x = 83,142.75 × 83,142.75
4. Step 4: Simplify right side
   38,804.50x = 6,912,716,877.56
5. Step 5: Solve for x
   x = 6,912,716,877.56/38,804.50
6. Step 6: Final answer
   x = 178,142.15