Finding the Third Proportional to 14,589 and 32,001.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,589 : 32,001.75 = 32,001.75 : x
2. Step 2: Convert to fraction form
   14,589/32,001.75 = 32,001.75/x
3. Step 3: Cross multiply
   14,589x = 32,001.75 × 32,001.75
4. Step 4: Simplify right side
   14,589x = 1,024,112,003.06
5. Step 5: Solve for x
   x = 1,024,112,003.06/14,589
6. Step 6: Final answer
   x = 70,197.55