Finding the Third Proportional to 27,662 and 41,513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,662 : 41,513.25 = 41,513.25 : x
2. Step 2: Convert to fraction form
   27,662/41,513.25 = 41,513.25/x
3. Step 3: Cross multiply
   27,662x = 41,513.25 × 41,513.25
4. Step 4: Simplify right side
   27,662x = 1,723,349,925.56
5. Step 5: Solve for x
   x = 1,723,349,925.56/27,662
6. Step 6: Final answer
   x = 62,300.26