Finding the Third Proportional to 17,518 and 37,816

Step by Step Solution

1. Step 1: Write the proportion equation
   17,518 : 37,816 = 37,816 : x
2. Step 2: Convert to fraction form
   17,518/37,816 = 37,816/x
3. Step 3: Cross multiply
   17,518x = 37,816 × 37,816
4. Step 4: Simplify right side
   17,518x = 1,430,049,856
5. Step 5: Solve for x
   x = 1,430,049,856/17,518
6. Step 6: Final answer
   x = 81,633.17