Finding the Third Proportional to 13,003 and 20,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,003 : 20,689.50 = 20,689.50 : x
2. Step 2: Convert to fraction form
   13,003/20,689.50 = 20,689.50/x
3. Step 3: Cross multiply
   13,003x = 20,689.50 × 20,689.50
4. Step 4: Simplify right side
   13,003x = 428,055,410.25
5. Step 5: Solve for x
   x = 428,055,410.25/13,003
6. Step 6: Final answer
   x = 32,919.74