Finding the Third Proportional to 33,464 and 53,814

Step by Step Solution

1. Step 1: Write the proportion equation
   33,464 : 53,814 = 53,814 : x
2. Step 2: Convert to fraction form
   33,464/53,814 = 53,814/x
3. Step 3: Cross multiply
   33,464x = 53,814 × 53,814
4. Step 4: Simplify right side
   33,464x = 2,895,946,596
5. Step 5: Solve for x
   x = 2,895,946,596/33,464
6. Step 6: Final answer
   x = 86,539.16