Finding the Third Proportional to 6,590.90 and 14,501.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,590.90 : 14,501.69 = 14,501.69 : x
2. Step 2: Convert to fraction form
   6,590.90/14,501.69 = 14,501.69/x
3. Step 3: Cross multiply
   6,590.90x = 14,501.69 × 14,501.69
4. Step 4: Simplify right side
   6,590.90x = 210,298,996.99
5. Step 5: Solve for x
   x = 210,298,996.99/6,590.90
6. Step 6: Final answer
   x = 31,907.48