Finding the Third Proportional to 38,882.25 and 85,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,882.25 : 85,297.50 = 85,297.50 : x
2. Step 2: Convert to fraction form
   38,882.25/85,297.50 = 85,297.50/x
3. Step 3: Cross multiply
   38,882.25x = 85,297.50 × 85,297.50
4. Step 4: Simplify right side
   38,882.25x = 7,275,663,506.25
5. Step 5: Solve for x
   x = 7,275,663,506.25/38,882.25
6. Step 6: Final answer
   x = 187,120.43