Finding the Third Proportional to 34,545 and 73,830

Step by Step Solution

1. Step 1: Write the proportion equation
   34,545 : 73,830 = 73,830 : x
2. Step 2: Convert to fraction form
   34,545/73,830 = 73,830/x
3. Step 3: Cross multiply
   34,545x = 73,830 × 73,830
4. Step 4: Simplify right side
   34,545x = 5,450,868,900
5. Step 5: Solve for x
   x = 5,450,868,900/34,545
6. Step 6: Final answer
   x = 157,790.39