Finding the Third Proportional to 4,602 and 10,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,602 : 10,771.50 = 10,771.50 : x
2. Step 2: Convert to fraction form
   4,602/10,771.50 = 10,771.50/x
3. Step 3: Cross multiply
   4,602x = 10,771.50 × 10,771.50
4. Step 4: Simplify right side
   4,602x = 116,025,212.25
5. Step 5: Solve for x
   x = 116,025,212.25/4,602
6. Step 6: Final answer
   x = 25,211.91