Finding the Third Proportional to 11,757 and 16,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,757 : 16,123.50 = 16,123.50 : x
2. Step 2: Convert to fraction form
   11,757/16,123.50 = 16,123.50/x
3. Step 3: Cross multiply
   11,757x = 16,123.50 × 16,123.50
4. Step 4: Simplify right side
   11,757x = 259,967,252.25
5. Step 5: Solve for x
   x = 259,967,252.25/11,757
6. Step 6: Final answer
   x = 22,111.70