Finding the Third Proportional to 59,536 and 80,852

Step by Step Solution

1. Step 1: Write the proportion equation
   59,536 : 80,852 = 80,852 : x
2. Step 2: Convert to fraction form
   59,536/80,852 = 80,852/x
3. Step 3: Cross multiply
   59,536x = 80,852 × 80,852
4. Step 4: Simplify right side
   59,536x = 6,537,045,904
5. Step 5: Solve for x
   x = 6,537,045,904/59,536
6. Step 6: Final answer
   x = 109,799.88