Finding the Third Proportional to 40,186.13 and 65,746.69

Step by Step Solution

1. Step 1: Write the proportion equation
   40,186.13 : 65,746.69 = 65,746.69 : x
2. Step 2: Convert to fraction form
   40,186.13/65,746.69 = 65,746.69/x
3. Step 3: Cross multiply
   40,186.13x = 65,746.69 × 65,746.69
4. Step 4: Simplify right side
   40,186.13x = 4,322,626,917.22
5. Step 5: Solve for x
   x = 4,322,626,917.22/40,186.13
6. Step 6: Final answer
   x = 107,565.16