Finding the Third Proportional to 10,152 and 22,059

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 22,059 = 22,059 : x
2. Step 2: Convert to fraction form
   10,152/22,059 = 22,059/x
3. Step 3: Cross multiply
   10,152x = 22,059 × 22,059
4. Step 4: Simplify right side
   10,152x = 486,599,481
5. Step 5: Solve for x
   x = 486,599,481/10,152
6. Step 6: Final answer
   x = 47,931.39