Finding the Third Proportional to 36,264 and 76,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,264 : 76,882.50 = 76,882.50 : x
2. Step 2: Convert to fraction form
   36,264/76,882.50 = 76,882.50/x
3. Step 3: Cross multiply
   36,264x = 76,882.50 × 76,882.50
4. Step 4: Simplify right side
   36,264x = 5,910,918,806.25
5. Step 5: Solve for x
   x = 5,910,918,806.25/36,264
6. Step 6: Final answer
   x = 162,996.88