Finding the Third Proportional to 61,744.50 and 82,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,744.50 : 82,759.50 = 82,759.50 : x
2. Step 2: Convert to fraction form
   61,744.50/82,759.50 = 82,759.50/x
3. Step 3: Cross multiply
   61,744.50x = 82,759.50 × 82,759.50
4. Step 4: Simplify right side
   61,744.50x = 6,849,134,840.25
5. Step 5: Solve for x
   x = 6,849,134,840.25/61,744.50
6. Step 6: Final answer
   x = 110,927.04