Finding the Third Proportional to 53,788.50 and 82,950.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,788.50 : 82,950.75 = 82,950.75 : x
2. Step 2: Convert to fraction form
   53,788.50/82,950.75 = 82,950.75/x
3. Step 3: Cross multiply
   53,788.50x = 82,950.75 × 82,950.75
4. Step 4: Simplify right side
   53,788.50x = 6,880,826,925.56
5. Step 5: Solve for x
   x = 6,880,826,925.56/53,788.50
6. Step 6: Final answer
   x = 127,923.76