Finding the Third Proportional to 10,522 and 19,586

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522 : 19,586 = 19,586 : x
2. Step 2: Convert to fraction form
   10,522/19,586 = 19,586/x
3. Step 3: Cross multiply
   10,522x = 19,586 × 19,586
4. Step 4: Simplify right side
   10,522x = 383,611,396
5. Step 5: Solve for x
   x = 383,611,396/10,522
6. Step 6: Final answer
   x = 36,458.03