Finding the Third Proportional to 53,844 and 82,650

Step by Step Solution

1. Step 1: Write the proportion equation
   53,844 : 82,650 = 82,650 : x
2. Step 2: Convert to fraction form
   53,844/82,650 = 82,650/x
3. Step 3: Cross multiply
   53,844x = 82,650 × 82,650
4. Step 4: Simplify right side
   53,844x = 6,831,022,500
5. Step 5: Solve for x
   x = 6,831,022,500/53,844
6. Step 6: Final answer
   x = 126,866.92