Finding the Third Proportional to 23,046 and 49,164

Step by Step Solution

1. Step 1: Write the proportion equation
   23,046 : 49,164 = 49,164 : x
2. Step 2: Convert to fraction form
   23,046/49,164 = 49,164/x
3. Step 3: Cross multiply
   23,046x = 49,164 × 49,164
4. Step 4: Simplify right side
   23,046x = 2,417,098,896
5. Step 5: Solve for x
   x = 2,417,098,896/23,046
6. Step 6: Final answer
   x = 104,881.49