Finding the Third Proportional to 32,340 and 51,426

Step by Step Solution

1. Step 1: Write the proportion equation
   32,340 : 51,426 = 51,426 : x
2. Step 2: Convert to fraction form
   32,340/51,426 = 51,426/x
3. Step 3: Cross multiply
   32,340x = 51,426 × 51,426
4. Step 4: Simplify right side
   32,340x = 2,644,633,476
5. Step 5: Solve for x
   x = 2,644,633,476/32,340
6. Step 6: Final answer
   x = 81,775.93