Finding the Third Proportional to 27,814 and 42,410

Step by Step Solution

1. Step 1: Write the proportion equation
   27,814 : 42,410 = 42,410 : x
2. Step 2: Convert to fraction form
   27,814/42,410 = 42,410/x
3. Step 3: Cross multiply
   27,814x = 42,410 × 42,410
4. Step 4: Simplify right side
   27,814x = 1,798,608,100
5. Step 5: Solve for x
   x = 1,798,608,100/27,814
6. Step 6: Final answer
   x = 64,665.57