Finding the Third Proportional to 22,768 and 31,624

Step by Step Solution

1. Step 1: Write the proportion equation
   22,768 : 31,624 = 31,624 : x
2. Step 2: Convert to fraction form
   22,768/31,624 = 31,624/x
3. Step 3: Cross multiply
   22,768x = 31,624 × 31,624
4. Step 4: Simplify right side
   22,768x = 1,000,077,376
5. Step 5: Solve for x
   x = 1,000,077,376/22,768
6. Step 6: Final answer
   x = 43,924.69