Finding the Third Proportional to 32,426 and 50,101

Step by Step Solution

1. Step 1: Write the proportion equation
   32,426 : 50,101 = 50,101 : x
2. Step 2: Convert to fraction form
   32,426/50,101 = 50,101/x
3. Step 3: Cross multiply
   32,426x = 50,101 × 50,101
4. Step 4: Simplify right side
   32,426x = 2,510,110,201
5. Step 5: Solve for x
   x = 2,510,110,201/32,426
6. Step 6: Final answer
   x = 77,410.42