Finding the Third Proportional to 30,772 and 65,210

Step by Step Solution

1. Step 1: Write the proportion equation
   30,772 : 65,210 = 65,210 : x
2. Step 2: Convert to fraction form
   30,772/65,210 = 65,210/x
3. Step 3: Cross multiply
   30,772x = 65,210 × 65,210
4. Step 4: Simplify right side
   30,772x = 4,252,344,100
5. Step 5: Solve for x
   x = 4,252,344,100/30,772
6. Step 6: Final answer
   x = 138,188.75