Finding the Third Proportional to 10,219.50 and 18,513

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.50 : 18,513 = 18,513 : x
2. Step 2: Convert to fraction form
   10,219.50/18,513 = 18,513/x
3. Step 3: Cross multiply
   10,219.50x = 18,513 × 18,513
4. Step 4: Simplify right side
   10,219.50x = 342,731,169
5. Step 5: Solve for x
   x = 342,731,169/10,219.50
6. Step 6: Final answer
   x = 33,536.98