Finding the Third Proportional to 34,373 and 72,814

Step by Step Solution

1. Step 1: Write the proportion equation
   34,373 : 72,814 = 72,814 : x
2. Step 2: Convert to fraction form
   34,373/72,814 = 72,814/x
3. Step 3: Cross multiply
   34,373x = 72,814 × 72,814
4. Step 4: Simplify right side
   34,373x = 5,301,878,596
5. Step 5: Solve for x
   x = 5,301,878,596/34,373
6. Step 6: Final answer
   x = 154,245.44