Finding the Third Proportional to 51,710 and 82,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,710 : 82,964.50 = 82,964.50 : x
2. Step 2: Convert to fraction form
   51,710/82,964.50 = 82,964.50/x
3. Step 3: Cross multiply
   51,710x = 82,964.50 × 82,964.50
4. Step 4: Simplify right side
   51,710x = 6,883,108,260.25
5. Step 5: Solve for x
   x = 6,883,108,260.25/51,710
6. Step 6: Final answer
   x = 133,109.81