Finding the Third Proportional to 10,735 and 23,486

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735 : 23,486 = 23,486 : x
2. Step 2: Convert to fraction form
   10,735/23,486 = 23,486/x
3. Step 3: Cross multiply
   10,735x = 23,486 × 23,486
4. Step 4: Simplify right side
   10,735x = 551,592,196
5. Step 5: Solve for x
   x = 551,592,196/10,735
6. Step 6: Final answer
   x = 51,382.60