Finding the Third Proportional to 53,833.50 and 80,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,833.50 : 80,383.50 = 80,383.50 : x
2. Step 2: Convert to fraction form
   53,833.50/80,383.50 = 80,383.50/x
3. Step 3: Cross multiply
   53,833.50x = 80,383.50 × 80,383.50
4. Step 4: Simplify right side
   53,833.50x = 6,461,507,072.25
5. Step 5: Solve for x
   x = 6,461,507,072.25/53,833.50
6. Step 6: Final answer
   x = 120,027.62