Finding the Third Proportional to 5,461.50 and 12,837.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,461.50 : 12,837.75 = 12,837.75 : x
2. Step 2: Convert to fraction form
   5,461.50/12,837.75 = 12,837.75/x
3. Step 3: Cross multiply
   5,461.50x = 12,837.75 × 12,837.75
4. Step 4: Simplify right side
   5,461.50x = 164,807,825.06
5. Step 5: Solve for x
   x = 164,807,825.06/5,461.50
6. Step 6: Final answer
   x = 30,176.29