Finding the Third Proportional to 38,395.50 and 82,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,395.50 : 82,621.50 = 82,621.50 : x
2. Step 2: Convert to fraction form
   38,395.50/82,621.50 = 82,621.50/x
3. Step 3: Cross multiply
   38,395.50x = 82,621.50 × 82,621.50
4. Step 4: Simplify right side
   38,395.50x = 6,826,312,262.25
5. Step 5: Solve for x
   x = 6,826,312,262.25/38,395.50
6. Step 6: Final answer
   x = 177,789.38