Finding the Third Proportional to 14,402 and 30,800

Step by Step Solution

1. Step 1: Write the proportion equation
   14,402 : 30,800 = 30,800 : x
2. Step 2: Convert to fraction form
   14,402/30,800 = 30,800/x
3. Step 3: Cross multiply
   14,402x = 30,800 × 30,800
4. Step 4: Simplify right side
   14,402x = 948,640,000
5. Step 5: Solve for x
   x = 948,640,000/14,402
6. Step 6: Final answer
   x = 65,868.63