Finding the Third Proportional to 53,380 and 83,736

Step by Step Solution

1. Step 1: Write the proportion equation
   53,380 : 83,736 = 83,736 : x
2. Step 2: Convert to fraction form
   53,380/83,736 = 83,736/x
3. Step 3: Cross multiply
   53,380x = 83,736 × 83,736
4. Step 4: Simplify right side
   53,380x = 7,011,717,696
5. Step 5: Solve for x
   x = 7,011,717,696/53,380
6. Step 6: Final answer
   x = 131,354.77