Finding the Third Proportional to 35,211 and 51,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,211 : 51,574.50 = 51,574.50 : x
2. Step 2: Convert to fraction form
   35,211/51,574.50 = 51,574.50/x
3. Step 3: Cross multiply
   35,211x = 51,574.50 × 51,574.50
4. Step 4: Simplify right side
   35,211x = 2,659,929,050.25
5. Step 5: Solve for x
   x = 2,659,929,050.25/35,211
6. Step 6: Final answer
   x = 75,542.56