Finding the Third Proportional to 1,965.52 and 4,301.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.52 : 4,301.86 = 4,301.86 : x
2. Step 2: Convert to fraction form
   1,965.52/4,301.86 = 4,301.86/x
3. Step 3: Cross multiply
   1,965.52x = 4,301.86 × 4,301.86
4. Step 4: Simplify right side
   1,965.52x = 18,505,994.08
5. Step 5: Solve for x
   x = 18,505,994.08/1,965.52
6. Step 6: Final answer
   x = 9,415.34