Finding the Third Proportional to 10,840 and 23,046

Step by Step Solution

1. Step 1: Write the proportion equation
   10,840 : 23,046 = 23,046 : x
2. Step 2: Convert to fraction form
   10,840/23,046 = 23,046/x
3. Step 3: Cross multiply
   10,840x = 23,046 × 23,046
4. Step 4: Simplify right side
   10,840x = 531,118,116
5. Step 5: Solve for x
   x = 531,118,116/10,840
6. Step 6: Final answer
   x = 48,996.14