Finding the Third Proportional to 37,932.19 and 83,007.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,932.19 : 83,007.75 = 83,007.75 : x
2. Step 2: Convert to fraction form
   37,932.19/83,007.75 = 83,007.75/x
3. Step 3: Cross multiply
   37,932.19x = 83,007.75 × 83,007.75
4. Step 4: Simplify right side
   37,932.19x = 6,890,286,560.06
5. Step 5: Solve for x
   x = 6,890,286,560.06/37,932.19
6. Step 6: Final answer
   x = 181,647.49