Finding the Third Proportional to 1,264.36 and 2,656.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,264.36 : 2,656.86 = 2,656.86 : x
2. Step 2: Convert to fraction form
   1,264.36/2,656.86 = 2,656.86/x
3. Step 3: Cross multiply
   1,264.36x = 2,656.86 × 2,656.86
4. Step 4: Simplify right side
   1,264.36x = 7,058,922.50
5. Step 5: Solve for x
   x = 7,058,922.50/1,264.36
6. Step 6: Final answer
   x = 5,583.00