Finding the Third Proportional to 51,870.50 and 82,342

Step by Step Solution

1. Step 1: Write the proportion equation
   51,870.50 : 82,342 = 82,342 : x
2. Step 2: Convert to fraction form
   51,870.50/82,342 = 82,342/x
3. Step 3: Cross multiply
   51,870.50x = 82,342 × 82,342
4. Step 4: Simplify right side
   51,870.50x = 6,780,204,964
5. Step 5: Solve for x
   x = 6,780,204,964/51,870.50
6. Step 6: Final answer
   x = 130,714.09