Finding the Third Proportional to 19,704 and 42,178

Step by Step Solution

1. Step 1: Write the proportion equation
   19,704 : 42,178 = 42,178 : x
2. Step 2: Convert to fraction form
   19,704/42,178 = 42,178/x
3. Step 3: Cross multiply
   19,704x = 42,178 × 42,178
4. Step 4: Simplify right side
   19,704x = 1,778,983,684
5. Step 5: Solve for x
   x = 1,778,983,684/19,704
6. Step 6: Final answer
   x = 90,285.41