Finding the Third Proportional to 51,085 and 76,697

Step by Step Solution

1. Step 1: Write the proportion equation
   51,085 : 76,697 = 76,697 : x
2. Step 2: Convert to fraction form
   51,085/76,697 = 76,697/x
3. Step 3: Cross multiply
   51,085x = 76,697 × 76,697
4. Step 4: Simplify right side
   51,085x = 5,882,429,809
5. Step 5: Solve for x
   x = 5,882,429,809/51,085
6. Step 6: Final answer
   x = 115,149.84