Finding the Third Proportional to 27,764.25 and 39,569.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,764.25 : 39,569.63 = 39,569.63 : x
2. Step 2: Convert to fraction form
   27,764.25/39,569.63 = 39,569.63/x
3. Step 3: Cross multiply
   27,764.25x = 39,569.63 × 39,569.63
4. Step 4: Simplify right side
   27,764.25x = 1,565,755,222.64
5. Step 5: Solve for x
   x = 1,565,755,222.64/27,764.25
6. Step 6: Final answer
   x = 56,394.65