Finding the Third Proportional to 35,628 and 56,413

Step by Step Solution

1. Step 1: Write the proportion equation
   35,628 : 56,413 = 56,413 : x
2. Step 2: Convert to fraction form
   35,628/56,413 = 56,413/x
3. Step 3: Cross multiply
   35,628x = 56,413 × 56,413
4. Step 4: Simplify right side
   35,628x = 3,182,426,569
5. Step 5: Solve for x
   x = 3,182,426,569/35,628
6. Step 6: Final answer
   x = 89,323.75