Finding the Third Proportional to 12,645 and 20,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,645 : 20,131.50 = 20,131.50 : x
2. Step 2: Convert to fraction form
   12,645/20,131.50 = 20,131.50/x
3. Step 3: Cross multiply
   12,645x = 20,131.50 × 20,131.50
4. Step 4: Simplify right side
   12,645x = 405,277,292.25
5. Step 5: Solve for x
   x = 405,277,292.25/12,645
6. Step 6: Final answer
   x = 32,050.40