Finding the Third Proportional to 53,944 and 83,754

Step by Step Solution

1. Step 1: Write the proportion equation
   53,944 : 83,754 = 83,754 : x
2. Step 2: Convert to fraction form
   53,944/83,754 = 83,754/x
3. Step 3: Cross multiply
   53,944x = 83,754 × 83,754
4. Step 4: Simplify right side
   53,944x = 7,014,732,516
5. Step 5: Solve for x
   x = 7,014,732,516/53,944
6. Step 6: Final answer
   x = 130,037.31