Finding the Third Proportional to 5,333.50 and 7,460

Step by Step Solution

1. Step 1: Write the proportion equation
   5,333.50 : 7,460 = 7,460 : x
2. Step 2: Convert to fraction form
   5,333.50/7,460 = 7,460/x
3. Step 3: Cross multiply
   5,333.50x = 7,460 × 7,460
4. Step 4: Simplify right side
   5,333.50x = 55,651,600
5. Step 5: Solve for x
   x = 55,651,600/5,333.50
6. Step 6: Final answer
   x = 10,434.35