Finding the Third Proportional to 10,178 and 22,002

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178 : 22,002 = 22,002 : x
2. Step 2: Convert to fraction form
   10,178/22,002 = 22,002/x
3. Step 3: Cross multiply
   10,178x = 22,002 × 22,002
4. Step 4: Simplify right side
   10,178x = 484,088,004
5. Step 5: Solve for x
   x = 484,088,004/10,178
6. Step 6: Final answer
   x = 47,562.19