Finding the Third Proportional to 27,109 and 41,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,109 : 41,041.50 = 41,041.50 : x
2. Step 2: Convert to fraction form
   27,109/41,041.50 = 41,041.50/x
3. Step 3: Cross multiply
   27,109x = 41,041.50 × 41,041.50
4. Step 4: Simplify right side
   27,109x = 1,684,404,722.25
5. Step 5: Solve for x
   x = 1,684,404,722.25/27,109
6. Step 6: Final answer
   x = 62,134.52