Finding the Third Proportional to 35,138 and 56,200

Step by Step Solution

1. Step 1: Write the proportion equation
   35,138 : 56,200 = 56,200 : x
2. Step 2: Convert to fraction form
   35,138/56,200 = 56,200/x
3. Step 3: Cross multiply
   35,138x = 56,200 × 56,200
4. Step 4: Simplify right side
   35,138x = 3,158,440,000
5. Step 5: Solve for x
   x = 3,158,440,000/35,138
6. Step 6: Final answer
   x = 89,886.73