Finding the Third Proportional to 51,627 and 72,705

Step by Step Solution

1. Step 1: Write the proportion equation
   51,627 : 72,705 = 72,705 : x
2. Step 2: Convert to fraction form
   51,627/72,705 = 72,705/x
3. Step 3: Cross multiply
   51,627x = 72,705 × 72,705
4. Step 4: Simplify right side
   51,627x = 5,286,017,025
5. Step 5: Solve for x
   x = 5,286,017,025/51,627
6. Step 6: Final answer
   x = 102,388.61