Finding the Third Proportional to 4,802 and 11,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,802 : 11,123.50 = 11,123.50 : x
2. Step 2: Convert to fraction form
   4,802/11,123.50 = 11,123.50/x
3. Step 3: Cross multiply
   4,802x = 11,123.50 × 11,123.50
4. Step 4: Simplify right side
   4,802x = 123,732,252.25
5. Step 5: Solve for x
   x = 123,732,252.25/4,802
6. Step 6: Final answer
   x = 25,766.82