Finding the Third Proportional to 10,848 and 23,586

Step by Step Solution

1. Step 1: Write the proportion equation
   10,848 : 23,586 = 23,586 : x
2. Step 2: Convert to fraction form
   10,848/23,586 = 23,586/x
3. Step 3: Cross multiply
   10,848x = 23,586 × 23,586
4. Step 4: Simplify right side
   10,848x = 556,299,396
5. Step 5: Solve for x
   x = 556,299,396/10,848
6. Step 6: Final answer
   x = 51,281.29