Finding the Third Proportional to 21,738 and 47,146

Step by Step Solution

1. Step 1: Write the proportion equation
   21,738 : 47,146 = 47,146 : x
2. Step 2: Convert to fraction form
   21,738/47,146 = 47,146/x
3. Step 3: Cross multiply
   21,738x = 47,146 × 47,146
4. Step 4: Simplify right side
   21,738x = 2,222,745,316
5. Step 5: Solve for x
   x = 2,222,745,316/21,738
6. Step 6: Final answer
   x = 102,251.60