Finding the Third Proportional to 4,735.50 and 10,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,735.50 : 10,381.50 = 10,381.50 : x
2. Step 2: Convert to fraction form
   4,735.50/10,381.50 = 10,381.50/x
3. Step 3: Cross multiply
   4,735.50x = 10,381.50 × 10,381.50
4. Step 4: Simplify right side
   4,735.50x = 107,775,542.25
5. Step 5: Solve for x
   x = 107,775,542.25/4,735.50
6. Step 6: Final answer
   x = 22,759.06