Finding the Third Proportional to 34,878 and 75,666

Step by Step Solution

1. Step 1: Write the proportion equation
   34,878 : 75,666 = 75,666 : x
2. Step 2: Convert to fraction form
   34,878/75,666 = 75,666/x
3. Step 3: Cross multiply
   34,878x = 75,666 × 75,666
4. Step 4: Simplify right side
   34,878x = 5,725,343,556
5. Step 5: Solve for x
   x = 5,725,343,556/34,878
6. Step 6: Final answer
   x = 164,153.44