Finding the Third Proportional to 3,531.94 and 4,796.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,531.94 : 4,796.86 = 4,796.86 : x
2. Step 2: Convert to fraction form
   3,531.94/4,796.86 = 4,796.86/x
3. Step 3: Cross multiply
   3,531.94x = 4,796.86 × 4,796.86
4. Step 4: Simplify right side
   3,531.94x = 23,009,859.86
5. Step 5: Solve for x
   x = 23,009,859.86/3,531.94
6. Step 6: Final answer
   x = 6,514.80