Finding the Third Proportional to 55,898 and 82,064

Step by Step Solution

1. Step 1: Write the proportion equation
   55,898 : 82,064 = 82,064 : x
2. Step 2: Convert to fraction form
   55,898/82,064 = 82,064/x
3. Step 3: Cross multiply
   55,898x = 82,064 × 82,064
4. Step 4: Simplify right side
   55,898x = 6,734,500,096
5. Step 5: Solve for x
   x = 6,734,500,096/55,898
6. Step 6: Final answer
   x = 120,478.37