Finding the Third Proportional to 51,636 and 72,711

Step by Step Solution

1. Step 1: Write the proportion equation
   51,636 : 72,711 = 72,711 : x
2. Step 2: Convert to fraction form
   51,636/72,711 = 72,711/x
3. Step 3: Cross multiply
   51,636x = 72,711 × 72,711
4. Step 4: Simplify right side
   51,636x = 5,286,889,521
5. Step 5: Solve for x
   x = 5,286,889,521/51,636
6. Step 6: Final answer
   x = 102,387.67