Finding the Third Proportional to 17,746 and 38,732

Step by Step Solution

1. Step 1: Write the proportion equation
   17,746 : 38,732 = 38,732 : x
2. Step 2: Convert to fraction form
   17,746/38,732 = 38,732/x
3. Step 3: Cross multiply
   17,746x = 38,732 × 38,732
4. Step 4: Simplify right side
   17,746x = 1,500,167,824
5. Step 5: Solve for x
   x = 1,500,167,824/17,746
6. Step 6: Final answer
   x = 84,535.55