Finding the Third Proportional to 34,786.50 and 76,133

Step by Step Solution

1. Step 1: Write the proportion equation
   34,786.50 : 76,133 = 76,133 : x
2. Step 2: Convert to fraction form
   34,786.50/76,133 = 76,133/x
3. Step 3: Cross multiply
   34,786.50x = 76,133 × 76,133
4. Step 4: Simplify right side
   34,786.50x = 5,796,233,689
5. Step 5: Solve for x
   x = 5,796,233,689/34,786.50
6. Step 6: Final answer
   x = 166,623.08