Finding the Third Proportional to 35,524 and 59,200

Step by Step Solution

1. Step 1: Write the proportion equation
   35,524 : 59,200 = 59,200 : x
2. Step 2: Convert to fraction form
   35,524/59,200 = 59,200/x
3. Step 3: Cross multiply
   35,524x = 59,200 × 59,200
4. Step 4: Simplify right side
   35,524x = 3,504,640,000
5. Step 5: Solve for x
   x = 3,504,640,000/35,524
6. Step 6: Final answer
   x = 98,655.56