Finding the Third Proportional to 53,789.50 and 82,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,789.50 : 82,952.50 = 82,952.50 : x
2. Step 2: Convert to fraction form
   53,789.50/82,952.50 = 82,952.50/x
3. Step 3: Cross multiply
   53,789.50x = 82,952.50 × 82,952.50
4. Step 4: Simplify right side
   53,789.50x = 6,881,117,256.25
5. Step 5: Solve for x
   x = 6,881,117,256.25/53,789.50
6. Step 6: Final answer
   x = 127,926.77