Finding the Third Proportional to 17,644.50 and 37,341

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644.50 : 37,341 = 37,341 : x
2. Step 2: Convert to fraction form
   17,644.50/37,341 = 37,341/x
3. Step 3: Cross multiply
   17,644.50x = 37,341 × 37,341
4. Step 4: Simplify right side
   17,644.50x = 1,394,350,281
5. Step 5: Solve for x
   x = 1,394,350,281/17,644.50
6. Step 6: Final answer
   x = 79,024.64