Finding the Third Proportional to 21,588 and 45,747

Step by Step Solution

1. Step 1: Write the proportion equation
   21,588 : 45,747 = 45,747 : x
2. Step 2: Convert to fraction form
   21,588/45,747 = 45,747/x
3. Step 3: Cross multiply
   21,588x = 45,747 × 45,747
4. Step 4: Simplify right side
   21,588x = 2,092,788,009
5. Step 5: Solve for x
   x = 2,092,788,009/21,588
6. Step 6: Final answer
   x = 96,942.19