Finding the Third Proportional to 52,523.25 and 81,462.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,523.25 : 81,462.75 = 81,462.75 : x
2. Step 2: Convert to fraction form
   52,523.25/81,462.75 = 81,462.75/x
3. Step 3: Cross multiply
   52,523.25x = 81,462.75 × 81,462.75
4. Step 4: Simplify right side
   52,523.25x = 6,636,179,637.56
5. Step 5: Solve for x
   x = 6,636,179,637.56/52,523.25
6. Step 6: Final answer
   x = 126,347.47