Finding the Third Proportional to 34,646 and 73,426

Step by Step Solution

1. Step 1: Write the proportion equation
   34,646 : 73,426 = 73,426 : x
2. Step 2: Convert to fraction form
   34,646/73,426 = 73,426/x
3. Step 3: Cross multiply
   34,646x = 73,426 × 73,426
4. Step 4: Simplify right side
   34,646x = 5,391,377,476
5. Step 5: Solve for x
   x = 5,391,377,476/34,646
6. Step 6: Final answer
   x = 155,613.27