Finding the Third Proportional to 10,570.50 and 15,734.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570.50 : 15,734.25 = 15,734.25 : x
2. Step 2: Convert to fraction form
   10,570.50/15,734.25 = 15,734.25/x
3. Step 3: Cross multiply
   10,570.50x = 15,734.25 × 15,734.25
4. Step 4: Simplify right side
   10,570.50x = 247,566,623.06
5. Step 5: Solve for x
   x = 247,566,623.06/10,570.50
6. Step 6: Final answer
   x = 23,420.52