Finding the Third Proportional to 34,191 and 75,114

Step by Step Solution

1. Step 1: Write the proportion equation
   34,191 : 75,114 = 75,114 : x
2. Step 2: Convert to fraction form
   34,191/75,114 = 75,114/x
3. Step 3: Cross multiply
   34,191x = 75,114 × 75,114
4. Step 4: Simplify right side
   34,191x = 5,642,112,996
5. Step 5: Solve for x
   x = 5,642,112,996/34,191
6. Step 6: Final answer
   x = 165,017.49