Finding the Third Proportional to 42,288 and 66,942

Step by Step Solution

1. Step 1: Write the proportion equation
   42,288 : 66,942 = 66,942 : x
2. Step 2: Convert to fraction form
   42,288/66,942 = 66,942/x
3. Step 3: Cross multiply
   42,288x = 66,942 × 66,942
4. Step 4: Simplify right side
   42,288x = 4,481,231,364
5. Step 5: Solve for x
   x = 4,481,231,364/42,288
6. Step 6: Final answer
   x = 105,969.34