Finding the Third Proportional to 36,666 and 78,084

Step by Step Solution

1. Step 1: Write the proportion equation
   36,666 : 78,084 = 78,084 : x
2. Step 2: Convert to fraction form
   36,666/78,084 = 78,084/x
3. Step 3: Cross multiply
   36,666x = 78,084 × 78,084
4. Step 4: Simplify right side
   36,666x = 6,097,111,056
5. Step 5: Solve for x
   x = 6,097,111,056/36,666
6. Step 6: Final answer
   x = 166,287.87