Finding the Third Proportional to 43,692 and 65,382

Step by Step Solution

1. Step 1: Write the proportion equation
   43,692 : 65,382 = 65,382 : x
2. Step 2: Convert to fraction form
   43,692/65,382 = 65,382/x
3. Step 3: Cross multiply
   43,692x = 65,382 × 65,382
4. Step 4: Simplify right side
   43,692x = 4,274,805,924
5. Step 5: Solve for x
   x = 4,274,805,924/43,692
6. Step 6: Final answer
   x = 97,839.56