Finding the Third Proportional to 27,564.75 and 41,385.38

Step by Step Solution

1. Step 1: Write the proportion equation
   27,564.75 : 41,385.38 = 41,385.38 : x
2. Step 2: Convert to fraction form
   27,564.75/41,385.38 = 41,385.38/x
3. Step 3: Cross multiply
   27,564.75x = 41,385.38 × 41,385.38
4. Step 4: Simplify right side
   27,564.75x = 1,712,749,263.89
5. Step 5: Solve for x
   x = 1,712,749,263.89/27,564.75
6. Step 6: Final answer
   x = 62,135.49