Finding the Third Proportional to 42,564 and 67,366

Step by Step Solution

1. Step 1: Write the proportion equation
   42,564 : 67,366 = 67,366 : x
2. Step 2: Convert to fraction form
   42,564/67,366 = 67,366/x
3. Step 3: Cross multiply
   42,564x = 67,366 × 67,366
4. Step 4: Simplify right side
   42,564x = 4,538,177,956
5. Step 5: Solve for x
   x = 4,538,177,956/42,564
6. Step 6: Final answer
   x = 106,620.10