Finding the Third Proportional to 13,120.31 and 19,746.28

Step by Step Solution

1. Step 1: Write the proportion equation
   13,120.31 : 19,746.28 = 19,746.28 : x
2. Step 2: Convert to fraction form
   13,120.31/19,746.28 = 19,746.28/x
3. Step 3: Cross multiply
   13,120.31x = 19,746.28 × 19,746.28
4. Step 4: Simplify right side
   13,120.31x = 389,915,623.20
5. Step 5: Solve for x
   x = 389,915,623.20/13,120.31
6. Step 6: Final answer
   x = 29,718.47