Finding the Third Proportional to 17,676 and 37,224

Step by Step Solution

1. Step 1: Write the proportion equation
   17,676 : 37,224 = 37,224 : x
2. Step 2: Convert to fraction form
   17,676/37,224 = 37,224/x
3. Step 3: Cross multiply
   17,676x = 37,224 × 37,224
4. Step 4: Simplify right side
   17,676x = 1,385,626,176
5. Step 5: Solve for x
   x = 1,385,626,176/17,676
6. Step 6: Final answer
   x = 78,390.26