Finding the Third Proportional to 21,144 and 45,632

Step by Step Solution

1. Step 1: Write the proportion equation
   21,144 : 45,632 = 45,632 : x
2. Step 2: Convert to fraction form
   21,144/45,632 = 45,632/x
3. Step 3: Cross multiply
   21,144x = 45,632 × 45,632
4. Step 4: Simplify right side
   21,144x = 2,082,279,424
5. Step 5: Solve for x
   x = 2,082,279,424/21,144
6. Step 6: Final answer
   x = 98,480.87