Finding the Third Proportional to 16,177 and 23,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,177 : 23,377.50 = 23,377.50 : x
2. Step 2: Convert to fraction form
   16,177/23,377.50 = 23,377.50/x
3. Step 3: Cross multiply
   16,177x = 23,377.50 × 23,377.50
4. Step 4: Simplify right side
   16,177x = 546,507,506.25
5. Step 5: Solve for x
   x = 546,507,506.25/16,177
6. Step 6: Final answer
   x = 33,782.99