Finding the Third Proportional to 10,535.06 and 23,014.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,535.06 : 23,014.13 = 23,014.13 : x
2. Step 2: Convert to fraction form
   10,535.06/23,014.13 = 23,014.13/x
3. Step 3: Cross multiply
   10,535.06x = 23,014.13 × 23,014.13
4. Step 4: Simplify right side
   10,535.06x = 529,649,949.52
5. Step 5: Solve for x
   x = 529,649,949.52/10,535.06
6. Step 6: Final answer
   x = 50,274.97