Finding the Third Proportional to 53,765.77 and 83,588.34

Step by Step Solution

1. Step 1: Write the proportion equation
   53,765.77 : 83,588.34 = 83,588.34 : x
2. Step 2: Convert to fraction form
   53,765.77/83,588.34 = 83,588.34/x
3. Step 3: Cross multiply
   53,765.77x = 83,588.34 × 83,588.34
4. Step 4: Simplify right side
   53,765.77x = 6,987,011,210.87
5. Step 5: Solve for x
   x = 6,987,011,210.87/53,765.77
6. Step 6: Final answer
   x = 129,952.79