Finding the Third Proportional to 10,858 and 23,659

Step by Step Solution

1. Step 1: Write the proportion equation
   10,858 : 23,659 = 23,659 : x
2. Step 2: Convert to fraction form
   10,858/23,659 = 23,659/x
3. Step 3: Cross multiply
   10,858x = 23,659 × 23,659
4. Step 4: Simplify right side
   10,858x = 559,748,281
5. Step 5: Solve for x
   x = 559,748,281/10,858
6. Step 6: Final answer
   x = 51,551.69