Finding the Third Proportional to 35,510 and 53,913

Step by Step Solution

1. Step 1: Write the proportion equation
   35,510 : 53,913 = 53,913 : x
2. Step 2: Convert to fraction form
   35,510/53,913 = 53,913/x
3. Step 3: Cross multiply
   35,510x = 53,913 × 53,913
4. Step 4: Simplify right side
   35,510x = 2,906,611,569
5. Step 5: Solve for x
   x = 2,906,611,569/35,510
6. Step 6: Final answer
   x = 81,853.32