Finding the Third Proportional to 52,546 and 76,771

Step by Step Solution

1. Step 1: Write the proportion equation
   52,546 : 76,771 = 76,771 : x
2. Step 2: Convert to fraction form
   52,546/76,771 = 76,771/x
3. Step 3: Cross multiply
   52,546x = 76,771 × 76,771
4. Step 4: Simplify right side
   52,546x = 5,893,786,441
5. Step 5: Solve for x
   x = 5,893,786,441/52,546
6. Step 6: Final answer
   x = 112,164.32