Finding the Third Proportional to 34,406 and 70,269

Step by Step Solution

1. Step 1: Write the proportion equation
   34,406 : 70,269 = 70,269 : x
2. Step 2: Convert to fraction form
   34,406/70,269 = 70,269/x
3. Step 3: Cross multiply
   34,406x = 70,269 × 70,269
4. Step 4: Simplify right side
   34,406x = 4,937,732,361
5. Step 5: Solve for x
   x = 4,937,732,361/34,406
6. Step 6: Final answer
   x = 143,513.70