Finding the Third Proportional to 17,644.50 and 36,726.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,644.50 : 36,726.75 = 36,726.75 : x
2. Step 2: Convert to fraction form
   17,644.50/36,726.75 = 36,726.75/x
3. Step 3: Cross multiply
   17,644.50x = 36,726.75 × 36,726.75
4. Step 4: Simplify right side
   17,644.50x = 1,348,854,165.56
5. Step 5: Solve for x
   x = 1,348,854,165.56/17,644.50
6. Step 6: Final answer
   x = 76,446.15