Finding the Third Proportional to 14,588 and 32,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,588 : 32,001.50 = 32,001.50 : x
2. Step 2: Convert to fraction form
   14,588/32,001.50 = 32,001.50/x
3. Step 3: Cross multiply
   14,588x = 32,001.50 × 32,001.50
4. Step 4: Simplify right side
   14,588x = 1,024,096,002.25
5. Step 5: Solve for x
   x = 1,024,096,002.25/14,588
6. Step 6: Final answer
   x = 70,201.26