Finding the Third Proportional to 6,782.63 and 10,181.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.63 : 10,181.25 = 10,181.25 : x
2. Step 2: Convert to fraction form
   6,782.63/10,181.25 = 10,181.25/x
3. Step 3: Cross multiply
   6,782.63x = 10,181.25 × 10,181.25
4. Step 4: Simplify right side
   6,782.63x = 103,657,851.56
5. Step 5: Solve for x
   x = 103,657,851.56/6,782.63
6. Step 6: Final answer
   x = 15,282.85