Finding the Third Proportional to 17,630 and 37,078

Step by Step Solution

1. Step 1: Write the proportion equation
   17,630 : 37,078 = 37,078 : x
2. Step 2: Convert to fraction form
   17,630/37,078 = 37,078/x
3. Step 3: Cross multiply
   17,630x = 37,078 × 37,078
4. Step 4: Simplify right side
   17,630x = 1,374,778,084
5. Step 5: Solve for x
   x = 1,374,778,084/17,630
6. Step 6: Final answer
   x = 77,979.47