Finding the Third Proportional to 34,884 and 76,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,884 : 76,288.50 = 76,288.50 : x
2. Step 2: Convert to fraction form
   34,884/76,288.50 = 76,288.50/x
3. Step 3: Cross multiply
   34,884x = 76,288.50 × 76,288.50
4. Step 4: Simplify right side
   34,884x = 5,819,935,232.25
5. Step 5: Solve for x
   x = 5,819,935,232.25/34,884
6. Step 6: Final answer
   x = 166,836.81