Finding the Third Proportional to 10,526 and 24,371

Step by Step Solution

1. Step 1: Write the proportion equation
   10,526 : 24,371 = 24,371 : x
2. Step 2: Convert to fraction form
   10,526/24,371 = 24,371/x
3. Step 3: Cross multiply
   10,526x = 24,371 × 24,371
4. Step 4: Simplify right side
   10,526x = 593,945,641
5. Step 5: Solve for x
   x = 593,945,641/10,526
6. Step 6: Final answer
   x = 56,426.53