Finding the Third Proportional to 72,692 and 103,084

Step by Step Solution

1. Step 1: Write the proportion equation
   72,692 : 103,084 = 103,084 : x
2. Step 2: Convert to fraction form
   72,692/103,084 = 103,084/x
3. Step 3: Cross multiply
   72,692x = 103,084 × 103,084
4. Step 4: Simplify right side
   72,692x = 10,626,311,056
5. Step 5: Solve for x
   x = 10,626,311,056/72,692
6. Step 6: Final answer
   x = 146,182.68