Finding the Third Proportional to 53,913.50 and 82,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,913.50 : 82,754.50 = 82,754.50 : x
2. Step 2: Convert to fraction form
   53,913.50/82,754.50 = 82,754.50/x
3. Step 3: Cross multiply
   53,913.50x = 82,754.50 × 82,754.50
4. Step 4: Simplify right side
   53,913.50x = 6,848,307,270.25
5. Step 5: Solve for x
   x = 6,848,307,270.25/53,913.50
6. Step 6: Final answer
   x = 127,023.98