Finding the Third Proportional to 10,971.25 and 24,026

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971.25 : 24,026 = 24,026 : x
2. Step 2: Convert to fraction form
   10,971.25/24,026 = 24,026/x
3. Step 3: Cross multiply
   10,971.25x = 24,026 × 24,026
4. Step 4: Simplify right side
   10,971.25x = 577,248,676
5. Step 5: Solve for x
   x = 577,248,676/10,971.25
6. Step 6: Final answer
   x = 52,614.67