Finding the Third Proportional to 2,263.75 and 3,410.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.75 : 3,410.88 = 3,410.88 : x
2. Step 2: Convert to fraction form
   2,263.75/3,410.88 = 3,410.88/x
3. Step 3: Cross multiply
   2,263.75x = 3,410.88 × 3,410.88
4. Step 4: Simplify right side
   2,263.75x = 11,634,068.27
5. Step 5: Solve for x
   x = 11,634,068.27/2,263.75
6. Step 6: Final answer
   x = 5,139.29