Finding the Third Proportional to 10,583 and 22,522

Step by Step Solution

1. Step 1: Write the proportion equation
   10,583 : 22,522 = 22,522 : x
2. Step 2: Convert to fraction form
   10,583/22,522 = 22,522/x
3. Step 3: Cross multiply
   10,583x = 22,522 × 22,522
4. Step 4: Simplify right side
   10,583x = 507,240,484
5. Step 5: Solve for x
   x = 507,240,484/10,583
6. Step 6: Final answer
   x = 47,929.74