Finding the Third Proportional to 51,814.50 and 77,401

Step by Step Solution

1. Step 1: Write the proportion equation
   51,814.50 : 77,401 = 77,401 : x
2. Step 2: Convert to fraction form
   51,814.50/77,401 = 77,401/x
3. Step 3: Cross multiply
   51,814.50x = 77,401 × 77,401
4. Step 4: Simplify right side
   51,814.50x = 5,990,914,801
5. Step 5: Solve for x
   x = 5,990,914,801/51,814.50
6. Step 6: Final answer
   x = 115,622.36