Finding the Third Proportional to 6,781.63 and 10,499.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,781.63 : 10,499.63 = 10,499.63 : x
2. Step 2: Convert to fraction form
   6,781.63/10,499.63 = 10,499.63/x
3. Step 3: Cross multiply
   6,781.63x = 10,499.63 × 10,499.63
4. Step 4: Simplify right side
   6,781.63x = 110,242,125.14
5. Step 5: Solve for x
   x = 110,242,125.14/6,781.63
6. Step 6: Final answer
   x = 16,256.00