Finding the Third Proportional to 27,674 and 42,322

Step by Step Solution

1. Step 1: Write the proportion equation
   27,674 : 42,322 = 42,322 : x
2. Step 2: Convert to fraction form
   27,674/42,322 = 42,322/x
3. Step 3: Cross multiply
   27,674x = 42,322 × 42,322
4. Step 4: Simplify right side
   27,674x = 1,791,151,684
5. Step 5: Solve for x
   x = 1,791,151,684/27,674
6. Step 6: Final answer
   x = 64,723.27