Finding the Third Proportional to 42,354 and 56,464

Step by Step Solution

1. Step 1: Write the proportion equation
   42,354 : 56,464 = 56,464 : x
2. Step 2: Convert to fraction form
   42,354/56,464 = 56,464/x
3. Step 3: Cross multiply
   42,354x = 56,464 × 56,464
4. Step 4: Simplify right side
   42,354x = 3,188,183,296
5. Step 5: Solve for x
   x = 3,188,183,296/42,354
6. Step 6: Final answer
   x = 75,274.67