Finding the Third Proportional to 51,466 and 77,322

Step by Step Solution

1. Step 1: Write the proportion equation
   51,466 : 77,322 = 77,322 : x
2. Step 2: Convert to fraction form
   51,466/77,322 = 77,322/x
3. Step 3: Cross multiply
   51,466x = 77,322 × 77,322
4. Step 4: Simplify right side
   51,466x = 5,978,691,684
5. Step 5: Solve for x
   x = 5,978,691,684/51,466
6. Step 6: Final answer
   x = 116,167.79