Finding the Third Proportional to 6,601.50 and 17,825.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,601.50 : 17,825.06 = 17,825.06 : x
2. Step 2: Convert to fraction form
   6,601.50/17,825.06 = 17,825.06/x
3. Step 3: Cross multiply
   6,601.50x = 17,825.06 × 17,825.06
4. Step 4: Simplify right side
   6,601.50x = 317,732,853.13
5. Step 5: Solve for x
   x = 317,732,853.13/6,601.50
6. Step 6: Final answer
   x = 48,130.40