Finding the Third Proportional to 17,677 and 37,171

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677 : 37,171 = 37,171 : x
2. Step 2: Convert to fraction form
   17,677/37,171 = 37,171/x
3. Step 3: Cross multiply
   17,677x = 37,171 × 37,171
4. Step 4: Simplify right side
   17,677x = 1,381,683,241
5. Step 5: Solve for x
   x = 1,381,683,241/17,677
6. Step 6: Final answer
   x = 78,162.77