Finding the Third Proportional to 53,494 and 83,164

Step by Step Solution

1. Step 1: Write the proportion equation
   53,494 : 83,164 = 83,164 : x
2. Step 2: Convert to fraction form
   53,494/83,164 = 83,164/x
3. Step 3: Cross multiply
   53,494x = 83,164 × 83,164
4. Step 4: Simplify right side
   53,494x = 6,916,250,896
5. Step 5: Solve for x
   x = 6,916,250,896/53,494
6. Step 6: Final answer
   x = 129,290.22