Finding the Third Proportional to 34,675 and 76,114

Step by Step Solution

1. Step 1: Write the proportion equation
   34,675 : 76,114 = 76,114 : x
2. Step 2: Convert to fraction form
   34,675/76,114 = 76,114/x
3. Step 3: Cross multiply
   34,675x = 76,114 × 76,114
4. Step 4: Simplify right side
   34,675x = 5,793,340,996
5. Step 5: Solve for x
   x = 5,793,340,996/34,675
6. Step 6: Final answer
   x = 167,075.44