Finding the Third Proportional to 10,213.50 and 13,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213.50 : 13,300.50 = 13,300.50 : x
2. Step 2: Convert to fraction form
   10,213.50/13,300.50 = 13,300.50/x
3. Step 3: Cross multiply
   10,213.50x = 13,300.50 × 13,300.50
4. Step 4: Simplify right side
   10,213.50x = 176,903,300.25
5. Step 5: Solve for x
   x = 176,903,300.25/10,213.50
6. Step 6: Final answer
   x = 17,320.54