Finding the Third Proportional to 34,758 and 73,342

Step by Step Solution

1. Step 1: Write the proportion equation
   34,758 : 73,342 = 73,342 : x
2. Step 2: Convert to fraction form
   34,758/73,342 = 73,342/x
3. Step 3: Cross multiply
   34,758x = 73,342 × 73,342
4. Step 4: Simplify right side
   34,758x = 5,379,048,964
5. Step 5: Solve for x
   x = 5,379,048,964/34,758
6. Step 6: Final answer
   x = 154,757.15