Finding the Third Proportional to 4,684.50 and 5,292

Step by Step Solution

1. Step 1: Write the proportion equation
   4,684.50 : 5,292 = 5,292 : x
2. Step 2: Convert to fraction form
   4,684.50/5,292 = 5,292/x
3. Step 3: Cross multiply
   4,684.50x = 5,292 × 5,292
4. Step 4: Simplify right side
   4,684.50x = 28,005,264
5. Step 5: Solve for x
   x = 28,005,264/4,684.50
6. Step 6: Final answer
   x = 5,978.28