Finding the Third Proportional to 32,342 and 51,429

Step by Step Solution

1. Step 1: Write the proportion equation
   32,342 : 51,429 = 51,429 : x
2. Step 2: Convert to fraction form
   32,342/51,429 = 51,429/x
3. Step 3: Cross multiply
   32,342x = 51,429 × 51,429
4. Step 4: Simplify right side
   32,342x = 2,644,942,041
5. Step 5: Solve for x
   x = 2,644,942,041/32,342
6. Step 6: Final answer
   x = 81,780.41