Finding the Third Proportional to 34,564 and 72,686

Step by Step Solution

1. Step 1: Write the proportion equation
   34,564 : 72,686 = 72,686 : x
2. Step 2: Convert to fraction form
   34,564/72,686 = 72,686/x
3. Step 3: Cross multiply
   34,564x = 72,686 × 72,686
4. Step 4: Simplify right side
   34,564x = 5,283,254,596
5. Step 5: Solve for x
   x = 5,283,254,596/34,564
6. Step 6: Final answer
   x = 152,854.26