Finding the Third Proportional to 38,820.25 and 83,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,820.25 : 83,584.50 = 83,584.50 : x
2. Step 2: Convert to fraction form
   38,820.25/83,584.50 = 83,584.50/x
3. Step 3: Cross multiply
   38,820.25x = 83,584.50 × 83,584.50
4. Step 4: Simplify right side
   38,820.25x = 6,986,368,640.25
5. Step 5: Solve for x
   x = 6,986,368,640.25/38,820.25
6. Step 6: Final answer
   x = 179,967.12