Finding the Third Proportional to 10,784 and 23,572

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 23,572 = 23,572 : x
2. Step 2: Convert to fraction form
   10,784/23,572 = 23,572/x
3. Step 3: Cross multiply
   10,784x = 23,572 × 23,572
4. Step 4: Simplify right side
   10,784x = 555,639,184
5. Step 5: Solve for x
   x = 555,639,184/10,784
6. Step 6: Final answer
   x = 51,524.41