Finding the Third Proportional to 27,759 and 41,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,759 : 41,521.50 = 41,521.50 : x
2. Step 2: Convert to fraction form
   27,759/41,521.50 = 41,521.50/x
3. Step 3: Cross multiply
   27,759x = 41,521.50 × 41,521.50
4. Step 4: Simplify right side
   27,759x = 1,724,034,962.25
5. Step 5: Solve for x
   x = 1,724,034,962.25/27,759
6. Step 6: Final answer
   x = 62,107.24