Finding the Third Proportional to 10,233 and 16,340.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,233 : 16,340.06 = 16,340.06 : x
2. Step 2: Convert to fraction form
   10,233/16,340.06 = 16,340.06/x
3. Step 3: Cross multiply
   10,233x = 16,340.06 × 16,340.06
4. Step 4: Simplify right side
   10,233x = 266,997,642.50
5. Step 5: Solve for x
   x = 266,997,642.50/10,233
6. Step 6: Final answer
   x = 26,091.82