Finding the Third Proportional to 13,826 and 32,333

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826 : 32,333 = 32,333 : x
2. Step 2: Convert to fraction form
   13,826/32,333 = 32,333/x
3. Step 3: Cross multiply
   13,826x = 32,333 × 32,333
4. Step 4: Simplify right side
   13,826x = 1,045,422,889
5. Step 5: Solve for x
   x = 1,045,422,889/13,826
6. Step 6: Final answer
   x = 75,612.82