Finding the Third Proportional to 42,197 and 63,566

Step by Step Solution

1. Step 1: Write the proportion equation
   42,197 : 63,566 = 63,566 : x
2. Step 2: Convert to fraction form
   42,197/63,566 = 63,566/x
3. Step 3: Cross multiply
   42,197x = 63,566 × 63,566
4. Step 4: Simplify right side
   42,197x = 4,040,636,356
5. Step 5: Solve for x
   x = 4,040,636,356/42,197
6. Step 6: Final answer
   x = 95,756.48