Finding the Third Proportional to 35,826 and 53,541

Step by Step Solution

1. Step 1: Write the proportion equation
   35,826 : 53,541 = 53,541 : x
2. Step 2: Convert to fraction form
   35,826/53,541 = 53,541/x
3. Step 3: Cross multiply
   35,826x = 53,541 × 53,541
4. Step 4: Simplify right side
   35,826x = 2,866,638,681
5. Step 5: Solve for x
   x = 2,866,638,681/35,826
6. Step 6: Final answer
   x = 80,015.59