Finding the Third Proportional to 27,941 and 37,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,941 : 37,969.50 = 37,969.50 : x
2. Step 2: Convert to fraction form
   27,941/37,969.50 = 37,969.50/x
3. Step 3: Cross multiply
   27,941x = 37,969.50 × 37,969.50
4. Step 4: Simplify right side
   27,941x = 1,441,682,930.25
5. Step 5: Solve for x
   x = 1,441,682,930.25/27,941
6. Step 6: Final answer
   x = 51,597.40