Finding the Third Proportional to 27,784.50 and 41,679.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,784.50 : 41,679.75 = 41,679.75 : x
2. Step 2: Convert to fraction form
   27,784.50/41,679.75 = 41,679.75/x
3. Step 3: Cross multiply
   27,784.50x = 41,679.75 × 41,679.75
4. Step 4: Simplify right side
   27,784.50x = 1,737,201,560.06
5. Step 5: Solve for x
   x = 1,737,201,560.06/27,784.50
6. Step 6: Final answer
   x = 62,524.13