Finding the Third Proportional to 34,658 and 53,642

Step by Step Solution

1. Step 1: Write the proportion equation
   34,658 : 53,642 = 53,642 : x
2. Step 2: Convert to fraction form
   34,658/53,642 = 53,642/x
3. Step 3: Cross multiply
   34,658x = 53,642 × 53,642
4. Step 4: Simplify right side
   34,658x = 2,877,464,164
5. Step 5: Solve for x
   x = 2,877,464,164/34,658
6. Step 6: Final answer
   x = 83,024.53