Finding the Third Proportional to 34,866 and 75,156

Step by Step Solution

1. Step 1: Write the proportion equation
   34,866 : 75,156 = 75,156 : x
2. Step 2: Convert to fraction form
   34,866/75,156 = 75,156/x
3. Step 3: Cross multiply
   34,866x = 75,156 × 75,156
4. Step 4: Simplify right side
   34,866x = 5,648,424,336
5. Step 5: Solve for x
   x = 5,648,424,336/34,866
6. Step 6: Final answer
   x = 162,003.80