Finding the Third Proportional to 38,821.50 and 83,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,821.50 : 83,586.50 = 83,586.50 : x
2. Step 2: Convert to fraction form
   38,821.50/83,586.50 = 83,586.50/x
3. Step 3: Cross multiply
   38,821.50x = 83,586.50 × 83,586.50
4. Step 4: Simplify right side
   38,821.50x = 6,986,702,982.25
5. Step 5: Solve for x
   x = 6,986,702,982.25/38,821.50
6. Step 6: Final answer
   x = 179,969.94