Finding the Third Proportional to 17,428 and 37,642

Step by Step Solution

1. Step 1: Write the proportion equation
   17,428 : 37,642 = 37,642 : x
2. Step 2: Convert to fraction form
   17,428/37,642 = 37,642/x
3. Step 3: Cross multiply
   17,428x = 37,642 × 37,642
4. Step 4: Simplify right side
   17,428x = 1,416,920,164
5. Step 5: Solve for x
   x = 1,416,920,164/17,428
6. Step 6: Final answer
   x = 81,301.36