Finding the Third Proportional to 53,743.50 and 83,085.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,743.50 : 83,085.75 = 83,085.75 : x
2. Step 2: Convert to fraction form
   53,743.50/83,085.75 = 83,085.75/x
3. Step 3: Cross multiply
   53,743.50x = 83,085.75 × 83,085.75
4. Step 4: Simplify right side
   53,743.50x = 6,903,241,853.06
5. Step 5: Solve for x
   x = 6,903,241,853.06/53,743.50
6. Step 6: Final answer
   x = 128,447.94