Finding the Third Proportional to 42,614 and 63,678

Step by Step Solution

1. Step 1: Write the proportion equation
   42,614 : 63,678 = 63,678 : x
2. Step 2: Convert to fraction form
   42,614/63,678 = 63,678/x
3. Step 3: Cross multiply
   42,614x = 63,678 × 63,678
4. Step 4: Simplify right side
   42,614x = 4,054,887,684
5. Step 5: Solve for x
   x = 4,054,887,684/42,614
6. Step 6: Final answer
   x = 95,153.89