Finding the Third Proportional to 65,984 and 99,538

Step by Step Solution

1. Step 1: Write the proportion equation
   65,984 : 99,538 = 99,538 : x
2. Step 2: Convert to fraction form
   65,984/99,538 = 99,538/x
3. Step 3: Cross multiply
   65,984x = 99,538 × 99,538
4. Step 4: Simplify right side
   65,984x = 9,907,813,444
5. Step 5: Solve for x
   x = 9,907,813,444/65,984
6. Step 6: Final answer
   x = 150,154.79