Finding the Third Proportional to 11,493 and 18,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,493 : 18,877.50 = 18,877.50 : x
2. Step 2: Convert to fraction form
   11,493/18,877.50 = 18,877.50/x
3. Step 3: Cross multiply
   11,493x = 18,877.50 × 18,877.50
4. Step 4: Simplify right side
   11,493x = 356,360,006.25
5. Step 5: Solve for x
   x = 356,360,006.25/11,493
6. Step 6: Final answer
   x = 31,006.70