Finding the Third Proportional to 17,669 and 37,758

Step by Step Solution

1. Step 1: Write the proportion equation
   17,669 : 37,758 = 37,758 : x
2. Step 2: Convert to fraction form
   17,669/37,758 = 37,758/x
3. Step 3: Cross multiply
   17,669x = 37,758 × 37,758
4. Step 4: Simplify right side
   17,669x = 1,425,666,564
5. Step 5: Solve for x
   x = 1,425,666,564/17,669
6. Step 6: Final answer
   x = 80,687.45