Finding the Third Proportional to 27,842.50 and 40,227.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,842.50 : 40,227.75 = 40,227.75 : x
2. Step 2: Convert to fraction form
   27,842.50/40,227.75 = 40,227.75/x
3. Step 3: Cross multiply
   27,842.50x = 40,227.75 × 40,227.75
4. Step 4: Simplify right side
   27,842.50x = 1,618,271,870.06
5. Step 5: Solve for x
   x = 1,618,271,870.06/27,842.50
6. Step 6: Final answer
   x = 58,122.36