Finding the Third Proportional to 21,586 and 45,746

Step by Step Solution

1. Step 1: Write the proportion equation
   21,586 : 45,746 = 45,746 : x
2. Step 2: Convert to fraction form
   21,586/45,746 = 45,746/x
3. Step 3: Cross multiply
   21,586x = 45,746 × 45,746
4. Step 4: Simplify right side
   21,586x = 2,092,696,516
5. Step 5: Solve for x
   x = 2,092,696,516/21,586
6. Step 6: Final answer
   x = 96,946.93