Finding the Third Proportional to 27,814.50 and 35,241.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,814.50 : 35,241.75 = 35,241.75 : x
2. Step 2: Convert to fraction form
   27,814.50/35,241.75 = 35,241.75/x
3. Step 3: Cross multiply
   27,814.50x = 35,241.75 × 35,241.75
4. Step 4: Simplify right side
   27,814.50x = 1,241,980,943.06
5. Step 5: Solve for x
   x = 1,241,980,943.06/27,814.50
6. Step 6: Final answer
   x = 44,652.28