Finding the Third Proportional to 14,528 and 34,640

Step by Step Solution

1. Step 1: Write the proportion equation
   14,528 : 34,640 = 34,640 : x
2. Step 2: Convert to fraction form
   14,528/34,640 = 34,640/x
3. Step 3: Cross multiply
   14,528x = 34,640 × 34,640
4. Step 4: Simplify right side
   14,528x = 1,199,929,600
5. Step 5: Solve for x
   x = 1,199,929,600/14,528
6. Step 6: Final answer
   x = 82,594.27