Finding the Third Proportional to 13,046 and 20,114

Step by Step Solution

1. Step 1: Write the proportion equation
   13,046 : 20,114 = 20,114 : x
2. Step 2: Convert to fraction form
   13,046/20,114 = 20,114/x
3. Step 3: Cross multiply
   13,046x = 20,114 × 20,114
4. Step 4: Simplify right side
   13,046x = 404,572,996
5. Step 5: Solve for x
   x = 404,572,996/13,046
6. Step 6: Final answer
   x = 31,011.27