Finding the Third Proportional to 32,151 and 65,866

Step by Step Solution

1. Step 1: Write the proportion equation
   32,151 : 65,866 = 65,866 : x
2. Step 2: Convert to fraction form
   32,151/65,866 = 65,866/x
3. Step 3: Cross multiply
   32,151x = 65,866 × 65,866
4. Step 4: Simplify right side
   32,151x = 4,338,329,956
5. Step 5: Solve for x
   x = 4,338,329,956/32,151
6. Step 6: Final answer
   x = 134,936.08