Finding the Third Proportional to 17,691 and 37,302

Step by Step Solution

1. Step 1: Write the proportion equation
   17,691 : 37,302 = 37,302 : x
2. Step 2: Convert to fraction form
   17,691/37,302 = 37,302/x
3. Step 3: Cross multiply
   17,691x = 37,302 × 37,302
4. Step 4: Simplify right side
   17,691x = 1,391,439,204
5. Step 5: Solve for x
   x = 1,391,439,204/17,691
6. Step 6: Final answer
   x = 78,652.38