Finding the Third Proportional to 7,461.70 and 16,089.05

Step by Step Solution

1. Step 1: Write the proportion equation
   7,461.70 : 16,089.05 = 16,089.05 : x
2. Step 2: Convert to fraction form
   7,461.70/16,089.05 = 16,089.05/x
3. Step 3: Cross multiply
   7,461.70x = 16,089.05 × 16,089.05
4. Step 4: Simplify right side
   7,461.70x = 258,857,429.35
5. Step 5: Solve for x
   x = 258,857,429.35/7,461.70
6. Step 6: Final answer
   x = 34,691.47