Finding the Third Proportional to 55,364 and 85,825

Step by Step Solution

1. Step 1: Write the proportion equation
   55,364 : 85,825 = 85,825 : x
2. Step 2: Convert to fraction form
   55,364/85,825 = 85,825/x
3. Step 3: Cross multiply
   55,364x = 85,825 × 85,825
4. Step 4: Simplify right side
   55,364x = 7,365,930,625
5. Step 5: Solve for x
   x = 7,365,930,625/55,364
6. Step 6: Final answer
   x = 133,045.49