Finding the Third Proportional to 17,407 and 37,918

Step by Step Solution

1. Step 1: Write the proportion equation
   17,407 : 37,918 = 37,918 : x
2. Step 2: Convert to fraction form
   17,407/37,918 = 37,918/x
3. Step 3: Cross multiply
   17,407x = 37,918 × 37,918
4. Step 4: Simplify right side
   17,407x = 1,437,774,724
5. Step 5: Solve for x
   x = 1,437,774,724/17,407
6. Step 6: Final answer
   x = 82,597.50