Finding the Third Proportional to 30,196 and 65,880

Step by Step Solution

1. Step 1: Write the proportion equation
   30,196 : 65,880 = 65,880 : x
2. Step 2: Convert to fraction form
   30,196/65,880 = 65,880/x
3. Step 3: Cross multiply
   30,196x = 65,880 × 65,880
4. Step 4: Simplify right side
   30,196x = 4,340,174,400
5. Step 5: Solve for x
   x = 4,340,174,400/30,196
6. Step 6: Final answer
   x = 143,733.42