Finding the Third Proportional to 2,264.31 and 3,534.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264.31 : 3,534.57 = 3,534.57 : x
2. Step 2: Convert to fraction form
   2,264.31/3,534.57 = 3,534.57/x
3. Step 3: Cross multiply
   2,264.31x = 3,534.57 × 3,534.57
4. Step 4: Simplify right side
   2,264.31x = 12,493,214.91
5. Step 5: Solve for x
   x = 12,493,214.91/2,264.31
6. Step 6: Final answer
   x = 5,517.45