Finding the Third Proportional to 17,380 and 38,632

Step by Step Solution

1. Step 1: Write the proportion equation
   17,380 : 38,632 = 38,632 : x
2. Step 2: Convert to fraction form
   17,380/38,632 = 38,632/x
3. Step 3: Cross multiply
   17,380x = 38,632 × 38,632
4. Step 4: Simplify right side
   17,380x = 1,492,431,424
5. Step 5: Solve for x
   x = 1,492,431,424/17,380
6. Step 6: Final answer
   x = 85,870.62