Finding the Third Proportional to 42,922 and 66,458

Step by Step Solution

1. Step 1: Write the proportion equation
   42,922 : 66,458 = 66,458 : x
2. Step 2: Convert to fraction form
   42,922/66,458 = 66,458/x
3. Step 3: Cross multiply
   42,922x = 66,458 × 66,458
4. Step 4: Simplify right side
   42,922x = 4,416,665,764
5. Step 5: Solve for x
   x = 4,416,665,764/42,922
6. Step 6: Final answer
   x = 102,899.81