Finding the Third Proportional to 27,109.50 and 41,744.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,109.50 : 41,744.25 = 41,744.25 : x
2. Step 2: Convert to fraction form
   27,109.50/41,744.25 = 41,744.25/x
3. Step 3: Cross multiply
   27,109.50x = 41,744.25 × 41,744.25
4. Step 4: Simplify right side
   27,109.50x = 1,742,582,408.06
5. Step 5: Solve for x
   x = 1,742,582,408.06/27,109.50
6. Step 6: Final answer
   x = 64,279.40