Finding the Third Proportional to 13,284 and 19,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,284 : 19,957.50 = 19,957.50 : x
2. Step 2: Convert to fraction form
   13,284/19,957.50 = 19,957.50/x
3. Step 3: Cross multiply
   13,284x = 19,957.50 × 19,957.50
4. Step 4: Simplify right side
   13,284x = 398,301,806.25
5. Step 5: Solve for x
   x = 398,301,806.25/13,284
6. Step 6: Final answer
   x = 29,983.57