Finding the Third Proportional to 10,527.75 and 17,543.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,527.75 : 17,543.25 = 17,543.25 : x
2. Step 2: Convert to fraction form
   10,527.75/17,543.25 = 17,543.25/x
3. Step 3: Cross multiply
   10,527.75x = 17,543.25 × 17,543.25
4. Step 4: Simplify right side
   10,527.75x = 307,765,620.56
5. Step 5: Solve for x
   x = 307,765,620.56/10,527.75
6. Step 6: Final answer
   x = 29,233.75