Finding the Third Proportional to 42,784 and 56,778

Step by Step Solution

1. Step 1: Write the proportion equation
   42,784 : 56,778 = 56,778 : x
2. Step 2: Convert to fraction form
   42,784/56,778 = 56,778/x
3. Step 3: Cross multiply
   42,784x = 56,778 × 56,778
4. Step 4: Simplify right side
   42,784x = 3,223,741,284
5. Step 5: Solve for x
   x = 3,223,741,284/42,784
6. Step 6: Final answer
   x = 75,349.23