Finding the Third Proportional to 10,534.50 and 22,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,534.50 : 22,729.50 = 22,729.50 : x
2. Step 2: Convert to fraction form
   10,534.50/22,729.50 = 22,729.50/x
3. Step 3: Cross multiply
   10,534.50x = 22,729.50 × 22,729.50
4. Step 4: Simplify right side
   10,534.50x = 516,630,170.25
5. Step 5: Solve for x
   x = 516,630,170.25/10,534.50
6. Step 6: Final answer
   x = 49,041.74