Finding the Third Proportional to 10,178 and 20,900

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178 : 20,900 = 20,900 : x
2. Step 2: Convert to fraction form
   10,178/20,900 = 20,900/x
3. Step 3: Cross multiply
   10,178x = 20,900 × 20,900
4. Step 4: Simplify right side
   10,178x = 436,810,000
5. Step 5: Solve for x
   x = 436,810,000/10,178
6. Step 6: Final answer
   x = 42,917.08