Finding the Third Proportional to 17,606 and 37,369

Step by Step Solution

1. Step 1: Write the proportion equation
   17,606 : 37,369 = 37,369 : x
2. Step 2: Convert to fraction form
   17,606/37,369 = 37,369/x
3. Step 3: Cross multiply
   17,606x = 37,369 × 37,369
4. Step 4: Simplify right side
   17,606x = 1,396,442,161
5. Step 5: Solve for x
   x = 1,396,442,161/17,606
6. Step 6: Final answer
   x = 79,316.26