Finding the Third Proportional to 17,685 and 37,926

Step by Step Solution

1. Step 1: Write the proportion equation
   17,685 : 37,926 = 37,926 : x
2. Step 2: Convert to fraction form
   17,685/37,926 = 37,926/x
3. Step 3: Cross multiply
   17,685x = 37,926 × 37,926
4. Step 4: Simplify right side
   17,685x = 1,438,381,476
5. Step 5: Solve for x
   x = 1,438,381,476/17,685
6. Step 6: Final answer
   x = 81,333.42