Finding the Third Proportional to 4,532 and 5,898

Step by Step Solution

1. Step 1: Write the proportion equation
   4,532 : 5,898 = 5,898 : x
2. Step 2: Convert to fraction form
   4,532/5,898 = 5,898/x
3. Step 3: Cross multiply
   4,532x = 5,898 × 5,898
4. Step 4: Simplify right side
   4,532x = 34,786,404
5. Step 5: Solve for x
   x = 34,786,404/4,532
6. Step 6: Final answer
   x = 7,675.73