Finding the Third Proportional to 12,142.41 and 25,970.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,142.41 : 25,970.63 = 25,970.63 : x
2. Step 2: Convert to fraction form
   12,142.41/25,970.63 = 25,970.63/x
3. Step 3: Cross multiply
   12,142.41x = 25,970.63 × 25,970.63
4. Step 4: Simplify right side
   12,142.41x = 674,473,362.89
5. Step 5: Solve for x
   x = 674,473,362.89/12,142.41
6. Step 6: Final answer
   x = 55,546.93