Finding the Third Proportional to 34,305 and 69,564

Step by Step Solution

1. Step 1: Write the proportion equation
   34,305 : 69,564 = 69,564 : x
2. Step 2: Convert to fraction form
   34,305/69,564 = 69,564/x
3. Step 3: Cross multiply
   34,305x = 69,564 × 69,564
4. Step 4: Simplify right side
   34,305x = 4,839,150,096
5. Step 5: Solve for x
   x = 4,839,150,096/34,305
6. Step 6: Final answer
   x = 141,062.53