Finding the Third Proportional to 53,227.75 and 83,498.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,227.75 : 83,498.75 = 83,498.75 : x
2. Step 2: Convert to fraction form
   53,227.75/83,498.75 = 83,498.75/x
3. Step 3: Cross multiply
   53,227.75x = 83,498.75 × 83,498.75
4. Step 4: Simplify right side
   53,227.75x = 6,972,041,251.56
5. Step 5: Solve for x
   x = 6,972,041,251.56/53,227.75
6. Step 6: Final answer
   x = 130,985.08