Finding the Third Proportional to 17,748 and 38,644

Step by Step Solution

1. Step 1: Write the proportion equation
   17,748 : 38,644 = 38,644 : x
2. Step 2: Convert to fraction form
   17,748/38,644 = 38,644/x
3. Step 3: Cross multiply
   17,748x = 38,644 × 38,644
4. Step 4: Simplify right side
   17,748x = 1,493,358,736
5. Step 5: Solve for x
   x = 1,493,358,736/17,748
6. Step 6: Final answer
   x = 84,142.37