Finding the Third Proportional to 38,382 and 83,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,382 : 83,320.50 = 83,320.50 : x
2. Step 2: Convert to fraction form
   38,382/83,320.50 = 83,320.50/x
3. Step 3: Cross multiply
   38,382x = 83,320.50 × 83,320.50
4. Step 4: Simplify right side
   38,382x = 6,942,305,720.25
5. Step 5: Solve for x
   x = 6,942,305,720.25/38,382
6. Step 6: Final answer
   x = 180,874.00