Finding the Third Proportional to 43,298 and 65,259

Step by Step Solution

1. Step 1: Write the proportion equation
   43,298 : 65,259 = 65,259 : x
2. Step 2: Convert to fraction form
   43,298/65,259 = 65,259/x
3. Step 3: Cross multiply
   43,298x = 65,259 × 65,259
4. Step 4: Simplify right side
   43,298x = 4,258,737,081
5. Step 5: Solve for x
   x = 4,258,737,081/43,298
6. Step 6: Final answer
   x = 98,358.75