Finding the Third Proportional to 52,464 and 81,834

Step by Step Solution

1. Step 1: Write the proportion equation
   52,464 : 81,834 = 81,834 : x
2. Step 2: Convert to fraction form
   52,464/81,834 = 81,834/x
3. Step 3: Cross multiply
   52,464x = 81,834 × 81,834
4. Step 4: Simplify right side
   52,464x = 6,696,803,556
5. Step 5: Solve for x
   x = 6,696,803,556/52,464
6. Step 6: Final answer
   x = 127,645.69