Finding the Third Proportional to 2,263.50 and 3,278.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.50 : 3,278.53 = 3,278.53 : x
2. Step 2: Convert to fraction form
   2,263.50/3,278.53 = 3,278.53/x
3. Step 3: Cross multiply
   2,263.50x = 3,278.53 × 3,278.53
4. Step 4: Simplify right side
   2,263.50x = 10,748,767.16
5. Step 5: Solve for x
   x = 10,748,767.16/2,263.50
6. Step 6: Final answer
   x = 4,748.74