Finding the Third Proportional to 34,617 and 75,066

Step by Step Solution

1. Step 1: Write the proportion equation
   34,617 : 75,066 = 75,066 : x
2. Step 2: Convert to fraction form
   34,617/75,066 = 75,066/x
3. Step 3: Cross multiply
   34,617x = 75,066 × 75,066
4. Step 4: Simplify right side
   34,617x = 5,634,904,356
5. Step 5: Solve for x
   x = 5,634,904,356/34,617
6. Step 6: Final answer
   x = 162,778.53