Finding the Third Proportional to 53,384 and 83,742

Step by Step Solution

1. Step 1: Write the proportion equation
   53,384 : 83,742 = 83,742 : x
2. Step 2: Convert to fraction form
   53,384/83,742 = 83,742/x
3. Step 3: Cross multiply
   53,384x = 83,742 × 83,742
4. Step 4: Simplify right side
   53,384x = 7,012,722,564
5. Step 5: Solve for x
   x = 7,012,722,564/53,384
6. Step 6: Final answer
   x = 131,363.75