Finding the Third Proportional to 35,814 and 61,410

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814 : 61,410 = 61,410 : x
2. Step 2: Convert to fraction form
   35,814/61,410 = 61,410/x
3. Step 3: Cross multiply
   35,814x = 61,410 × 61,410
4. Step 4: Simplify right side
   35,814x = 3,771,188,100
5. Step 5: Solve for x
   x = 3,771,188,100/35,814
6. Step 6: Final answer
   x = 105,299.27