Finding the Third Proportional to 32,470 and 51,648

Step by Step Solution

1. Step 1: Write the proportion equation
   32,470 : 51,648 = 51,648 : x
2. Step 2: Convert to fraction form
   32,470/51,648 = 51,648/x
3. Step 3: Cross multiply
   32,470x = 51,648 × 51,648
4. Step 4: Simplify right side
   32,470x = 2,667,515,904
5. Step 5: Solve for x
   x = 2,667,515,904/32,470
6. Step 6: Final answer
   x = 82,153.25