Finding the Third Proportional to 30,102 and 65,756

Step by Step Solution

1. Step 1: Write the proportion equation
   30,102 : 65,756 = 65,756 : x
2. Step 2: Convert to fraction form
   30,102/65,756 = 65,756/x
3. Step 3: Cross multiply
   30,102x = 65,756 × 65,756
4. Step 4: Simplify right side
   30,102x = 4,323,851,536
5. Step 5: Solve for x
   x = 4,323,851,536/30,102
6. Step 6: Final answer
   x = 143,640.01