Finding the Third Proportional to 6,590.81 and 10,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,590.81 : 10,507.50 = 10,507.50 : x
2. Step 2: Convert to fraction form
   6,590.81/10,507.50 = 10,507.50/x
3. Step 3: Cross multiply
   6,590.81x = 10,507.50 × 10,507.50
4. Step 4: Simplify right side
   6,590.81x = 110,407,556.25
5. Step 5: Solve for x
   x = 110,407,556.25/6,590.81
6. Step 6: Final answer
   x = 16,751.74