Finding the Third Proportional to 7,824.75 and 17,132.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824.75 : 17,132.25 = 17,132.25 : x
2. Step 2: Convert to fraction form
   7,824.75/17,132.25 = 17,132.25/x
3. Step 3: Cross multiply
   7,824.75x = 17,132.25 × 17,132.25
4. Step 4: Simplify right side
   7,824.75x = 293,513,990.06
5. Step 5: Solve for x
   x = 293,513,990.06/7,824.75
6. Step 6: Final answer
   x = 37,510.97