Finding the Third Proportional to 24,384 and 37,644

Step by Step Solution

1. Step 1: Write the proportion equation
   24,384 : 37,644 = 37,644 : x
2. Step 2: Convert to fraction form
   24,384/37,644 = 37,644/x
3. Step 3: Cross multiply
   24,384x = 37,644 × 37,644
4. Step 4: Simplify right side
   24,384x = 1,417,070,736
5. Step 5: Solve for x
   x = 1,417,070,736/24,384
6. Step 6: Final answer
   x = 58,114.78