Finding the Third Proportional to 17,677 and 37,785

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677 : 37,785 = 37,785 : x
2. Step 2: Convert to fraction form
   17,677/37,785 = 37,785/x
3. Step 3: Cross multiply
   17,677x = 37,785 × 37,785
4. Step 4: Simplify right side
   17,677x = 1,427,706,225
5. Step 5: Solve for x
   x = 1,427,706,225/17,677
6. Step 6: Final answer
   x = 80,766.32