Finding the Third Proportional to 42,198 and 64,756

Step by Step Solution

1. Step 1: Write the proportion equation
   42,198 : 64,756 = 64,756 : x
2. Step 2: Convert to fraction form
   42,198/64,756 = 64,756/x
3. Step 3: Cross multiply
   42,198x = 64,756 × 64,756
4. Step 4: Simplify right side
   42,198x = 4,193,339,536
5. Step 5: Solve for x
   x = 4,193,339,536/42,198
6. Step 6: Final answer
   x = 99,372.95