Finding the Third Proportional to 17,726 and 37,756

Step by Step Solution

1. Step 1: Write the proportion equation
   17,726 : 37,756 = 37,756 : x
2. Step 2: Convert to fraction form
   17,726/37,756 = 37,756/x
3. Step 3: Cross multiply
   17,726x = 37,756 × 37,756
4. Step 4: Simplify right side
   17,726x = 1,425,515,536
5. Step 5: Solve for x
   x = 1,425,515,536/17,726
6. Step 6: Final answer
   x = 80,419.47