Finding the Third Proportional to 34,308 and 75,184

Step by Step Solution

1. Step 1: Write the proportion equation
   34,308 : 75,184 = 75,184 : x
2. Step 2: Convert to fraction form
   34,308/75,184 = 75,184/x
3. Step 3: Cross multiply
   34,308x = 75,184 × 75,184
4. Step 4: Simplify right side
   34,308x = 5,652,633,856
5. Step 5: Solve for x
   x = 5,652,633,856/34,308
6. Step 6: Final answer
   x = 164,761.39