Finding the Third Proportional to 38,254.50 and 82,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,254.50 : 82,861.50 = 82,861.50 : x
2. Step 2: Convert to fraction form
   38,254.50/82,861.50 = 82,861.50/x
3. Step 3: Cross multiply
   38,254.50x = 82,861.50 × 82,861.50
4. Step 4: Simplify right side
   38,254.50x = 6,866,028,182.25
5. Step 5: Solve for x
   x = 6,866,028,182.25/38,254.50
6. Step 6: Final answer
   x = 179,482.89