Finding the Third Proportional to 27,841 and 40,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,841 : 40,225.50 = 40,225.50 : x
2. Step 2: Convert to fraction form
   27,841/40,225.50 = 40,225.50/x
3. Step 3: Cross multiply
   27,841x = 40,225.50 × 40,225.50
4. Step 4: Simplify right side
   27,841x = 1,618,090,850.25
5. Step 5: Solve for x
   x = 1,618,090,850.25/27,841
6. Step 6: Final answer
   x = 58,118.99