Finding the Third Proportional to 35,502 and 55,200

Step by Step Solution

1. Step 1: Write the proportion equation
   35,502 : 55,200 = 55,200 : x
2. Step 2: Convert to fraction form
   35,502/55,200 = 55,200/x
3. Step 3: Cross multiply
   35,502x = 55,200 × 55,200
4. Step 4: Simplify right side
   35,502x = 3,047,040,000
5. Step 5: Solve for x
   x = 3,047,040,000/35,502
6. Step 6: Final answer
   x = 85,827.28