Finding the Third Proportional to 13,868 and 32,738

Step by Step Solution

1. Step 1: Write the proportion equation
   13,868 : 32,738 = 32,738 : x
2. Step 2: Convert to fraction form
   13,868/32,738 = 32,738/x
3. Step 3: Cross multiply
   13,868x = 32,738 × 32,738
4. Step 4: Simplify right side
   13,868x = 1,071,776,644
5. Step 5: Solve for x
   x = 1,071,776,644/13,868
6. Step 6: Final answer
   x = 77,284.15