Finding the Third Proportional to 31,249 and 67,410

Step by Step Solution

1. Step 1: Write the proportion equation
   31,249 : 67,410 = 67,410 : x
2. Step 2: Convert to fraction form
   31,249/67,410 = 67,410/x
3. Step 3: Cross multiply
   31,249x = 67,410 × 67,410
4. Step 4: Simplify right side
   31,249x = 4,544,108,100
5. Step 5: Solve for x
   x = 4,544,108,100/31,249
6. Step 6: Final answer
   x = 145,416.11