Finding the Third Proportional to 38,008.50 and 82,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,008.50 : 82,063.50 = 82,063.50 : x
2. Step 2: Convert to fraction form
   38,008.50/82,063.50 = 82,063.50/x
3. Step 3: Cross multiply
   38,008.50x = 82,063.50 × 82,063.50
4. Step 4: Simplify right side
   38,008.50x = 6,734,418,032.25
5. Step 5: Solve for x
   x = 6,734,418,032.25/38,008.50
6. Step 6: Final answer
   x = 177,181.89