Finding the Third Proportional to 38,029.50 and 50,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,029.50 : 50,422.50 = 50,422.50 : x
2. Step 2: Convert to fraction form
   38,029.50/50,422.50 = 50,422.50/x
3. Step 3: Cross multiply
   38,029.50x = 50,422.50 × 50,422.50
4. Step 4: Simplify right side
   38,029.50x = 2,542,428,506.25
5. Step 5: Solve for x
   x = 2,542,428,506.25/38,029.50
6. Step 6: Final answer
   x = 66,854.11