Finding the Third Proportional to 30,464 and 51,200

Step by Step Solution

1. Step 1: Write the proportion equation
   30,464 : 51,200 = 51,200 : x
2. Step 2: Convert to fraction form
   30,464/51,200 = 51,200/x
3. Step 3: Cross multiply
   30,464x = 51,200 × 51,200
4. Step 4: Simplify right side
   30,464x = 2,621,440,000
5. Step 5: Solve for x
   x = 2,621,440,000/30,464
6. Step 6: Final answer
   x = 86,050.42