Finding the Third Proportional to 51,759 and 52,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,759 : 52,690.50 = 52,690.50 : x
2. Step 2: Convert to fraction form
   51,759/52,690.50 = 52,690.50/x
3. Step 3: Cross multiply
   51,759x = 52,690.50 × 52,690.50
4. Step 4: Simplify right side
   51,759x = 2,776,288,790.25
5. Step 5: Solve for x
   x = 2,776,288,790.25/51,759
6. Step 6: Final answer
   x = 53,638.76