Finding the Third Proportional to 9,201 and 13,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,201 : 13,009.50 = 13,009.50 : x
2. Step 2: Convert to fraction form
   9,201/13,009.50 = 13,009.50/x
3. Step 3: Cross multiply
   9,201x = 13,009.50 × 13,009.50
4. Step 4: Simplify right side
   9,201x = 169,247,090.25
5. Step 5: Solve for x
   x = 169,247,090.25/9,201
6. Step 6: Final answer
   x = 18,394.42