Finding the Third Proportional to 13,605.75 and 20,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,605.75 : 20,038.50 = 20,038.50 : x
2. Step 2: Convert to fraction form
   13,605.75/20,038.50 = 20,038.50/x
3. Step 3: Cross multiply
   13,605.75x = 20,038.50 × 20,038.50
4. Step 4: Simplify right side
   13,605.75x = 401,541,482.25
5. Step 5: Solve for x
   x = 401,541,482.25/13,605.75
6. Step 6: Final answer
   x = 29,512.63