Finding the Third Proportional to 17,672 and 37,156

Step by Step Solution

1. Step 1: Write the proportion equation
   17,672 : 37,156 = 37,156 : x
2. Step 2: Convert to fraction form
   17,672/37,156 = 37,156/x
3. Step 3: Cross multiply
   17,672x = 37,156 × 37,156
4. Step 4: Simplify right side
   17,672x = 1,380,568,336
5. Step 5: Solve for x
   x = 1,380,568,336/17,672
6. Step 6: Final answer
   x = 78,121.79