Finding the Third Proportional to 38,151.44 and 82,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,151.44 : 82,870.50 = 82,870.50 : x
2. Step 2: Convert to fraction form
   38,151.44/82,870.50 = 82,870.50/x
3. Step 3: Cross multiply
   38,151.44x = 82,870.50 × 82,870.50
4. Step 4: Simplify right side
   38,151.44x = 6,867,519,770.25
5. Step 5: Solve for x
   x = 6,867,519,770.25/38,151.44
6. Step 6: Final answer
   x = 180,006.84