Finding the Third Proportional to 30,759 and 65,188

Step by Step Solution

1. Step 1: Write the proportion equation
   30,759 : 65,188 = 65,188 : x
2. Step 2: Convert to fraction form
   30,759/65,188 = 65,188/x
3. Step 3: Cross multiply
   30,759x = 65,188 × 65,188
4. Step 4: Simplify right side
   30,759x = 4,249,475,344
5. Step 5: Solve for x
   x = 4,249,475,344/30,759
6. Step 6: Final answer
   x = 138,153.88