Finding the Third Proportional to 34,600 and 53,384

Step by Step Solution

1. Step 1: Write the proportion equation
   34,600 : 53,384 = 53,384 : x
2. Step 2: Convert to fraction form
   34,600/53,384 = 53,384/x
3. Step 3: Cross multiply
   34,600x = 53,384 × 53,384
4. Step 4: Simplify right side
   34,600x = 2,849,851,456
5. Step 5: Solve for x
   x = 2,849,851,456/34,600
6. Step 6: Final answer
   x = 82,365.65