Finding the Third Proportional to 12,848.63 and 19,546.31

Step by Step Solution

1. Step 1: Write the proportion equation
   12,848.63 : 19,546.31 = 19,546.31 : x
2. Step 2: Convert to fraction form
   12,848.63/19,546.31 = 19,546.31/x
3. Step 3: Cross multiply
   12,848.63x = 19,546.31 × 19,546.31
4. Step 4: Simplify right side
   12,848.63x = 382,058,332.35
5. Step 5: Solve for x
   x = 382,058,332.35/12,848.63
6. Step 6: Final answer
   x = 29,735.35