Finding the Third Proportional to 65,826 and 99,321

Step by Step Solution

1. Step 1: Write the proportion equation
   65,826 : 99,321 = 99,321 : x
2. Step 2: Convert to fraction form
   65,826/99,321 = 99,321/x
3. Step 3: Cross multiply
   65,826x = 99,321 × 99,321
4. Step 4: Simplify right side
   65,826x = 9,864,661,041
5. Step 5: Solve for x
   x = 9,864,661,041/65,826
6. Step 6: Final answer
   x = 149,859.65