Finding the Third Proportional to 32,846 and 50,541

Step by Step Solution

1. Step 1: Write the proportion equation
   32,846 : 50,541 = 50,541 : x
2. Step 2: Convert to fraction form
   32,846/50,541 = 50,541/x
3. Step 3: Cross multiply
   32,846x = 50,541 × 50,541
4. Step 4: Simplify right side
   32,846x = 2,554,392,681
5. Step 5: Solve for x
   x = 2,554,392,681/32,846
6. Step 6: Final answer
   x = 77,768.76