Finding the Third Proportional to 53,905.50 and 83,383.17

Step by Step Solution

1. Step 1: Write the proportion equation
   53,905.50 : 83,383.17 = 83,383.17 : x
2. Step 2: Convert to fraction form
   53,905.50/83,383.17 = 83,383.17/x
3. Step 3: Cross multiply
   53,905.50x = 83,383.17 × 83,383.17
4. Step 4: Simplify right side
   53,905.50x = 6,952,753,351.94
5. Step 5: Solve for x
   x = 6,952,753,351.94/53,905.50
6. Step 6: Final answer
   x = 128,980.41