Finding the Third Proportional to 27,702 and 41,541.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,702 : 41,541.75 = 41,541.75 : x
2. Step 2: Convert to fraction form
   27,702/41,541.75 = 41,541.75/x
3. Step 3: Cross multiply
   27,702x = 41,541.75 × 41,541.75
4. Step 4: Simplify right side
   27,702x = 1,725,716,993.06
5. Step 5: Solve for x
   x = 1,725,716,993.06/27,702
6. Step 6: Final answer
   x = 62,295.75