Finding the Third Proportional to 11,137.50 and 16,925.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,137.50 : 16,925.63 = 16,925.63 : x
2. Step 2: Convert to fraction form
   11,137.50/16,925.63 = 16,925.63/x
3. Step 3: Cross multiply
   11,137.50x = 16,925.63 × 16,925.63
4. Step 4: Simplify right side
   11,137.50x = 286,476,781.64
5. Step 5: Solve for x
   x = 286,476,781.64/11,137.50
6. Step 6: Final answer
   x = 25,721.82