Finding the Third Proportional to 2,264.50 and 3,602.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264.50 : 3,602.75 = 3,602.75 : x
2. Step 2: Convert to fraction form
   2,264.50/3,602.75 = 3,602.75/x
3. Step 3: Cross multiply
   2,264.50x = 3,602.75 × 3,602.75
4. Step 4: Simplify right side
   2,264.50x = 12,979,807.56
5. Step 5: Solve for x
   x = 12,979,807.56/2,264.50
6. Step 6: Final answer
   x = 5,731.86