Finding the Third Proportional to 21,117 and 46,194

Step by Step Solution

1. Step 1: Write the proportion equation
   21,117 : 46,194 = 46,194 : x
2. Step 2: Convert to fraction form
   21,117/46,194 = 46,194/x
3. Step 3: Cross multiply
   21,117x = 46,194 × 46,194
4. Step 4: Simplify right side
   21,117x = 2,133,885,636
5. Step 5: Solve for x
   x = 2,133,885,636/21,117
6. Step 6: Final answer
   x = 101,050.61