Finding the Third Proportional to 10,205 and 15,610

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205 : 15,610 = 15,610 : x
2. Step 2: Convert to fraction form
   10,205/15,610 = 15,610/x
3. Step 3: Cross multiply
   10,205x = 15,610 × 15,610
4. Step 4: Simplify right side
   10,205x = 243,672,100
5. Step 5: Solve for x
   x = 243,672,100/10,205
6. Step 6: Final answer
   x = 23,877.72