Finding the Third Proportional to 9,298.50 and 13,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,298.50 : 13,035.50 = 13,035.50 : x
2. Step 2: Convert to fraction form
   9,298.50/13,035.50 = 13,035.50/x
3. Step 3: Cross multiply
   9,298.50x = 13,035.50 × 13,035.50
4. Step 4: Simplify right side
   9,298.50x = 169,924,260.25
5. Step 5: Solve for x
   x = 169,924,260.25/9,298.50
6. Step 6: Final answer
   x = 18,274.37