Finding the Third Proportional to 5,038.50 and 9,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,038.50 : 9,442.50 = 9,442.50 : x
2. Step 2: Convert to fraction form
   5,038.50/9,442.50 = 9,442.50/x
3. Step 3: Cross multiply
   5,038.50x = 9,442.50 × 9,442.50
4. Step 4: Simplify right side
   5,038.50x = 89,160,806.25
5. Step 5: Solve for x
   x = 89,160,806.25/5,038.50
6. Step 6: Final answer
   x = 17,695.90