Finding the Third Proportional to 51,814 and 70,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,814 : 70,643.50 = 70,643.50 : x
2. Step 2: Convert to fraction form
   51,814/70,643.50 = 70,643.50/x
3. Step 3: Cross multiply
   51,814x = 70,643.50 × 70,643.50
4. Step 4: Simplify right side
   51,814x = 4,990,504,092.25
5. Step 5: Solve for x
   x = 4,990,504,092.25/51,814
6. Step 6: Final answer
   x = 96,315.75