Finding the Third Proportional to 16,188 and 25,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,188 : 25,123.50 = 25,123.50 : x
2. Step 2: Convert to fraction form
   16,188/25,123.50 = 25,123.50/x
3. Step 3: Cross multiply
   16,188x = 25,123.50 × 25,123.50
4. Step 4: Simplify right side
   16,188x = 631,190,252.25
5. Step 5: Solve for x
   x = 631,190,252.25/16,188
6. Step 6: Final answer
   x = 38,991.24