Finding the Third Proportional to 10,840 and 23,146

Step by Step Solution

1. Step 1: Write the proportion equation
   10,840 : 23,146 = 23,146 : x
2. Step 2: Convert to fraction form
   10,840/23,146 = 23,146/x
3. Step 3: Cross multiply
   10,840x = 23,146 × 23,146
4. Step 4: Simplify right side
   10,840x = 535,737,316
5. Step 5: Solve for x
   x = 535,737,316/10,840
6. Step 6: Final answer
   x = 49,422.26