Finding the Third Proportional to 13,036.50 and 20,097.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,036.50 : 20,097.75 = 20,097.75 : x
2. Step 2: Convert to fraction form
   13,036.50/20,097.75 = 20,097.75/x
3. Step 3: Cross multiply
   13,036.50x = 20,097.75 × 20,097.75
4. Step 4: Simplify right side
   13,036.50x = 403,919,555.06
5. Step 5: Solve for x
   x = 403,919,555.06/13,036.50
6. Step 6: Final answer
   x = 30,983.74