Finding the Third Proportional to 24,822 and 37,238

Step by Step Solution

1. Step 1: Write the proportion equation
   24,822 : 37,238 = 37,238 : x
2. Step 2: Convert to fraction form
   24,822/37,238 = 37,238/x
3. Step 3: Cross multiply
   24,822x = 37,238 × 37,238
4. Step 4: Simplify right side
   24,822x = 1,386,668,644
5. Step 5: Solve for x
   x = 1,386,668,644/24,822
6. Step 6: Final answer
   x = 55,864.50