Finding the Third Proportional to 34,654 and 53,638

Step by Step Solution

1. Step 1: Write the proportion equation
   34,654 : 53,638 = 53,638 : x
2. Step 2: Convert to fraction form
   34,654/53,638 = 53,638/x
3. Step 3: Cross multiply
   34,654x = 53,638 × 53,638
4. Step 4: Simplify right side
   34,654x = 2,877,035,044
5. Step 5: Solve for x
   x = 2,877,035,044/34,654
6. Step 6: Final answer
   x = 83,021.73