Finding the Third Proportional to 34,978 and 75,484

Step by Step Solution

1. Step 1: Write the proportion equation
   34,978 : 75,484 = 75,484 : x
2. Step 2: Convert to fraction form
   34,978/75,484 = 75,484/x
3. Step 3: Cross multiply
   34,978x = 75,484 × 75,484
4. Step 4: Simplify right side
   34,978x = 5,697,834,256
5. Step 5: Solve for x
   x = 5,697,834,256/34,978
6. Step 6: Final answer
   x = 162,897.66