Finding the Third Proportional to 34,578 and 73,764

Step by Step Solution

1. Step 1: Write the proportion equation
   34,578 : 73,764 = 73,764 : x
2. Step 2: Convert to fraction form
   34,578/73,764 = 73,764/x
3. Step 3: Cross multiply
   34,578x = 73,764 × 73,764
4. Step 4: Simplify right side
   34,578x = 5,441,127,696
5. Step 5: Solve for x
   x = 5,441,127,696/34,578
6. Step 6: Final answer
   x = 157,358.08