Finding the Third Proportional to 76,736 and 102,000

Step by Step Solution

1. Step 1: Write the proportion equation
   76,736 : 102,000 = 102,000 : x
2. Step 2: Convert to fraction form
   76,736/102,000 = 102,000/x
3. Step 3: Cross multiply
   76,736x = 102,000 × 102,000
4. Step 4: Simplify right side
   76,736x = 10,404,000,000
5. Step 5: Solve for x
   x = 10,404,000,000/76,736
6. Step 6: Final answer
   x = 135,581.73