Finding the Third Proportional to 6,547 and 14,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,547 : 14,131.50 = 14,131.50 : x
2. Step 2: Convert to fraction form
   6,547/14,131.50 = 14,131.50/x
3. Step 3: Cross multiply
   6,547x = 14,131.50 × 14,131.50
4. Step 4: Simplify right side
   6,547x = 199,699,292.25
5. Step 5: Solve for x
   x = 199,699,292.25/6,547
6. Step 6: Final answer
   x = 30,502.41