Finding the Third Proportional to 6,582 and 14,498.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,582 : 14,498.25 = 14,498.25 : x
2. Step 2: Convert to fraction form
   6,582/14,498.25 = 14,498.25/x
3. Step 3: Cross multiply
   6,582x = 14,498.25 × 14,498.25
4. Step 4: Simplify right side
   6,582x = 210,199,253.06
5. Step 5: Solve for x
   x = 210,199,253.06/6,582
6. Step 6: Final answer
   x = 31,935.47