Finding the Third Proportional to 9,471.50 and 17,758

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.50 : 17,758 = 17,758 : x
2. Step 2: Convert to fraction form
   9,471.50/17,758 = 17,758/x
3. Step 3: Cross multiply
   9,471.50x = 17,758 × 17,758
4. Step 4: Simplify right side
   9,471.50x = 315,346,564
5. Step 5: Solve for x
   x = 315,346,564/9,471.50
6. Step 6: Final answer
   x = 33,294.26