Finding the Third Proportional to 10,514.25 and 15,620.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.25 : 15,620.63 = 15,620.63 : x
2. Step 2: Convert to fraction form
   10,514.25/15,620.63 = 15,620.63/x
3. Step 3: Cross multiply
   10,514.25x = 15,620.63 × 15,620.63
4. Step 4: Simplify right side
   10,514.25x = 244,003,925.39
5. Step 5: Solve for x
   x = 244,003,925.39/10,514.25
6. Step 6: Final answer
   x = 23,206.97