Finding the Third Proportional to 53,938 and 83,747

Step by Step Solution

1. Step 1: Write the proportion equation
   53,938 : 83,747 = 83,747 : x
2. Step 2: Convert to fraction form
   53,938/83,747 = 83,747/x
3. Step 3: Cross multiply
   53,938x = 83,747 × 83,747
4. Step 4: Simplify right side
   53,938x = 7,013,560,009
5. Step 5: Solve for x
   x = 7,013,560,009/53,938
6. Step 6: Final answer
   x = 130,030.03