Finding the Third Proportional to 14,642 and 31,768

Step by Step Solution

1. Step 1: Write the proportion equation
   14,642 : 31,768 = 31,768 : x
2. Step 2: Convert to fraction form
   14,642/31,768 = 31,768/x
3. Step 3: Cross multiply
   14,642x = 31,768 × 31,768
4. Step 4: Simplify right side
   14,642x = 1,009,205,824
5. Step 5: Solve for x
   x = 1,009,205,824/14,642
6. Step 6: Final answer
   x = 68,925.41