Finding the Third Proportional to 3,460.50 and 5,189.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,460.50 : 5,189.63 = 5,189.63 : x
2. Step 2: Convert to fraction form
   3,460.50/5,189.63 = 5,189.63/x
3. Step 3: Cross multiply
   3,460.50x = 5,189.63 × 5,189.63
4. Step 4: Simplify right side
   3,460.50x = 26,932,207.64
5. Step 5: Solve for x
   x = 26,932,207.64/3,460.50
6. Step 6: Final answer
   x = 7,782.75