Finding the Third Proportional to 34,872 and 75,788

Step by Step Solution

1. Step 1: Write the proportion equation
   34,872 : 75,788 = 75,788 : x
2. Step 2: Convert to fraction form
   34,872/75,788 = 75,788/x
3. Step 3: Cross multiply
   34,872x = 75,788 × 75,788
4. Step 4: Simplify right side
   34,872x = 5,743,820,944
5. Step 5: Solve for x
   x = 5,743,820,944/34,872
6. Step 6: Final answer
   x = 164,711.54