Finding the Third Proportional to 52,870 and 81,825

Step by Step Solution

1. Step 1: Write the proportion equation
   52,870 : 81,825 = 81,825 : x
2. Step 2: Convert to fraction form
   52,870/81,825 = 81,825/x
3. Step 3: Cross multiply
   52,870x = 81,825 × 81,825
4. Step 4: Simplify right side
   52,870x = 6,695,330,625
5. Step 5: Solve for x
   x = 6,695,330,625/52,870
6. Step 6: Final answer
   x = 126,637.61