Finding the Third Proportional to 10,106 and 21,598

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106 : 21,598 = 21,598 : x
2. Step 2: Convert to fraction form
   10,106/21,598 = 21,598/x
3. Step 3: Cross multiply
   10,106x = 21,598 × 21,598
4. Step 4: Simplify right side
   10,106x = 466,473,604
5. Step 5: Solve for x
   x = 466,473,604/10,106
6. Step 6: Final answer
   x = 46,158.08