Finding the Third Proportional to 23,738 and 51,146

Step by Step Solution

1. Step 1: Write the proportion equation
   23,738 : 51,146 = 51,146 : x
2. Step 2: Convert to fraction form
   23,738/51,146 = 51,146/x
3. Step 3: Cross multiply
   23,738x = 51,146 × 51,146
4. Step 4: Simplify right side
   23,738x = 2,615,913,316
5. Step 5: Solve for x
   x = 2,615,913,316/23,738
6. Step 6: Final answer
   x = 110,199.40