Finding the Third Proportional to 34,077 and 69,545

Step by Step Solution

1. Step 1: Write the proportion equation
   34,077 : 69,545 = 69,545 : x
2. Step 2: Convert to fraction form
   34,077/69,545 = 69,545/x
3. Step 3: Cross multiply
   34,077x = 69,545 × 69,545
4. Step 4: Simplify right side
   34,077x = 4,836,507,025
5. Step 5: Solve for x
   x = 4,836,507,025/34,077
6. Step 6: Final answer
   x = 141,928.78