Finding the Third Proportional to 17,877 and 23,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,877 : 23,508.50 = 23,508.50 : x
2. Step 2: Convert to fraction form
   17,877/23,508.50 = 23,508.50/x
3. Step 3: Cross multiply
   17,877x = 23,508.50 × 23,508.50
4. Step 4: Simplify right side
   17,877x = 552,649,572.25
5. Step 5: Solve for x
   x = 552,649,572.25/17,877
6. Step 6: Final answer
   x = 30,914.00