Finding the Third Proportional to 10,290.75 and 15,580.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,290.75 : 15,580.25 = 15,580.25 : x
2. Step 2: Convert to fraction form
   10,290.75/15,580.25 = 15,580.25/x
3. Step 3: Cross multiply
   10,290.75x = 15,580.25 × 15,580.25
4. Step 4: Simplify right side
   10,290.75x = 242,744,190.06
5. Step 5: Solve for x
   x = 242,744,190.06/10,290.75
6. Step 6: Final answer
   x = 23,588.58