Finding the Third Proportional to 6,458 and 14,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,458 : 14,126.50 = 14,126.50 : x
2. Step 2: Convert to fraction form
   6,458/14,126.50 = 14,126.50/x
3. Step 3: Cross multiply
   6,458x = 14,126.50 × 14,126.50
4. Step 4: Simplify right side
   6,458x = 199,558,002.25
5. Step 5: Solve for x
   x = 199,558,002.25/6,458
6. Step 6: Final answer
   x = 30,900.90