Finding the Third Proportional to 34,566 and 72,609

Step by Step Solution

1. Step 1: Write the proportion equation
   34,566 : 72,609 = 72,609 : x
2. Step 2: Convert to fraction form
   34,566/72,609 = 72,609/x
3. Step 3: Cross multiply
   34,566x = 72,609 × 72,609
4. Step 4: Simplify right side
   34,566x = 5,272,066,881
5. Step 5: Solve for x
   x = 5,272,066,881/34,566
6. Step 6: Final answer
   x = 152,521.75