Finding the Third Proportional to 5,863.50 and 13,560.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,863.50 : 13,560.75 = 13,560.75 : x
2. Step 2: Convert to fraction form
   5,863.50/13,560.75 = 13,560.75/x
3. Step 3: Cross multiply
   5,863.50x = 13,560.75 × 13,560.75
4. Step 4: Simplify right side
   5,863.50x = 183,893,940.56
5. Step 5: Solve for x
   x = 183,893,940.56/5,863.50
6. Step 6: Final answer
   x = 31,362.49