Finding the Third Proportional to 17,674.50 and 37,167

Step by Step Solution

1. Step 1: Write the proportion equation
   17,674.50 : 37,167 = 37,167 : x
2. Step 2: Convert to fraction form
   17,674.50/37,167 = 37,167/x
3. Step 3: Cross multiply
   17,674.50x = 37,167 × 37,167
4. Step 4: Simplify right side
   17,674.50x = 1,381,385,889
5. Step 5: Solve for x
   x = 1,381,385,889/17,674.50
6. Step 6: Final answer
   x = 78,157.00