Finding the Third Proportional to 6,209.50 and 13,513

Step by Step Solution

1. Step 1: Write the proportion equation
   6,209.50 : 13,513 = 13,513 : x
2. Step 2: Convert to fraction form
   6,209.50/13,513 = 13,513/x
3. Step 3: Cross multiply
   6,209.50x = 13,513 × 13,513
4. Step 4: Simplify right side
   6,209.50x = 182,601,169
5. Step 5: Solve for x
   x = 182,601,169/6,209.50
6. Step 6: Final answer
   x = 29,406.74