Finding the Third Proportional to 10,772.50 and 16,093.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,772.50 : 16,093.50 = 16,093.50 : x
2. Step 2: Convert to fraction form
   10,772.50/16,093.50 = 16,093.50/x
3. Step 3: Cross multiply
   10,772.50x = 16,093.50 × 16,093.50
4. Step 4: Simplify right side
   10,772.50x = 259,000,742.25
5. Step 5: Solve for x
   x = 259,000,742.25/10,772.50
6. Step 6: Final answer
   x = 24,042.77