Finding the Third Proportional to 52,924.50 and 81,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,924.50 : 81,978.50 = 81,978.50 : x
2. Step 2: Convert to fraction form
   52,924.50/81,978.50 = 81,978.50/x
3. Step 3: Cross multiply
   52,924.50x = 81,978.50 × 81,978.50
4. Step 4: Simplify right side
   52,924.50x = 6,720,474,462.25
5. Step 5: Solve for x
   x = 6,720,474,462.25/52,924.50
6. Step 6: Final answer
   x = 126,982.29