Finding the Third Proportional to 53,743.50 and 84,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,743.50 : 84,739.50 = 84,739.50 : x
2. Step 2: Convert to fraction form
   53,743.50/84,739.50 = 84,739.50/x
3. Step 3: Cross multiply
   53,743.50x = 84,739.50 × 84,739.50
4. Step 4: Simplify right side
   53,743.50x = 7,180,782,860.25
5. Step 5: Solve for x
   x = 7,180,782,860.25/53,743.50
6. Step 6: Final answer
   x = 133,612.12