Finding the Third Proportional to 32,688 and 51,789

Step by Step Solution

1. Step 1: Write the proportion equation
   32,688 : 51,789 = 51,789 : x
2. Step 2: Convert to fraction form
   32,688/51,789 = 51,789/x
3. Step 3: Cross multiply
   32,688x = 51,789 × 51,789
4. Step 4: Simplify right side
   32,688x = 2,682,100,521
5. Step 5: Solve for x
   x = 2,682,100,521/32,688
6. Step 6: Final answer
   x = 82,051.53