Finding the Third Proportional to 16,151 and 32,738

Step by Step Solution

1. Step 1: Write the proportion equation
   16,151 : 32,738 = 32,738 : x
2. Step 2: Convert to fraction form
   16,151/32,738 = 32,738/x
3. Step 3: Cross multiply
   16,151x = 32,738 × 32,738
4. Step 4: Simplify right side
   16,151x = 1,071,776,644
5. Step 5: Solve for x
   x = 1,071,776,644/16,151
6. Step 6: Final answer
   x = 66,359.77