Finding the Third Proportional to 2,299.50 and 5,532.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,299.50 : 5,532.75 = 5,532.75 : x
2. Step 2: Convert to fraction form
   2,299.50/5,532.75 = 5,532.75/x
3. Step 3: Cross multiply
   2,299.50x = 5,532.75 × 5,532.75
4. Step 4: Simplify right side
   2,299.50x = 30,611,322.56
5. Step 5: Solve for x
   x = 30,611,322.56/2,299.50
6. Step 6: Final answer
   x = 13,312.16