Finding the Third Proportional to 10,062 and 21,585

Step by Step Solution

1. Step 1: Write the proportion equation
   10,062 : 21,585 = 21,585 : x
2. Step 2: Convert to fraction form
   10,062/21,585 = 21,585/x
3. Step 3: Cross multiply
   10,062x = 21,585 × 21,585
4. Step 4: Simplify right side
   10,062x = 465,912,225
5. Step 5: Solve for x
   x = 465,912,225/10,062
6. Step 6: Final answer
   x = 46,304.14