Finding the Third Proportional to 34,658 and 75,532

Step by Step Solution

1. Step 1: Write the proportion equation
   34,658 : 75,532 = 75,532 : x
2. Step 2: Convert to fraction form
   34,658/75,532 = 75,532/x
3. Step 3: Cross multiply
   34,658x = 75,532 × 75,532
4. Step 4: Simplify right side
   34,658x = 5,705,083,024
5. Step 5: Solve for x
   x = 5,705,083,024/34,658
6. Step 6: Final answer
   x = 164,610.86