Finding the Third Proportional to 51,969.50 and 83,697

Step by Step Solution

1. Step 1: Write the proportion equation
   51,969.50 : 83,697 = 83,697 : x
2. Step 2: Convert to fraction form
   51,969.50/83,697 = 83,697/x
3. Step 3: Cross multiply
   51,969.50x = 83,697 × 83,697
4. Step 4: Simplify right side
   51,969.50x = 7,005,187,809
5. Step 5: Solve for x
   x = 7,005,187,809/51,969.50
6. Step 6: Final answer
   x = 134,794.21