Finding the Third Proportional to 30,410 and 45,493

Step by Step Solution

1. Step 1: Write the proportion equation
   30,410 : 45,493 = 45,493 : x
2. Step 2: Convert to fraction form
   30,410/45,493 = 45,493/x
3. Step 3: Cross multiply
   30,410x = 45,493 × 45,493
4. Step 4: Simplify right side
   30,410x = 2,069,613,049
5. Step 5: Solve for x
   x = 2,069,613,049/30,410
6. Step 6: Final answer
   x = 68,056.99