Finding the Third Proportional to 36,207 and 76,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,207 : 76,783.50 = 76,783.50 : x
2. Step 2: Convert to fraction form
   36,207/76,783.50 = 76,783.50/x
3. Step 3: Cross multiply
   36,207x = 76,783.50 × 76,783.50
4. Step 4: Simplify right side
   36,207x = 5,895,705,872.25
5. Step 5: Solve for x
   x = 5,895,705,872.25/36,207
6. Step 6: Final answer
   x = 162,833.32