Finding the Third Proportional to 65,988 and 89,653

Step by Step Solution

1. Step 1: Write the proportion equation
   65,988 : 89,653 = 89,653 : x
2. Step 2: Convert to fraction form
   65,988/89,653 = 89,653/x
3. Step 3: Cross multiply
   65,988x = 89,653 × 89,653
4. Step 4: Simplify right side
   65,988x = 8,037,660,409
5. Step 5: Solve for x
   x = 8,037,660,409/65,988
6. Step 6: Final answer
   x = 121,804.88