Finding the Third Proportional to 17,664 and 37,434

Step by Step Solution

1. Step 1: Write the proportion equation
   17,664 : 37,434 = 37,434 : x
2. Step 2: Convert to fraction form
   17,664/37,434 = 37,434/x
3. Step 3: Cross multiply
   17,664x = 37,434 × 37,434
4. Step 4: Simplify right side
   17,664x = 1,401,304,356
5. Step 5: Solve for x
   x = 1,401,304,356/17,664
6. Step 6: Final answer
   x = 79,331.09