Finding the Third Proportional to 43,698 and 65,910

Step by Step Solution

1. Step 1: Write the proportion equation
   43,698 : 65,910 = 65,910 : x
2. Step 2: Convert to fraction form
   43,698/65,910 = 65,910/x
3. Step 3: Cross multiply
   43,698x = 65,910 × 65,910
4. Step 4: Simplify right side
   43,698x = 4,344,128,100
5. Step 5: Solve for x
   x = 4,344,128,100/43,698
6. Step 6: Final answer
   x = 99,412.52