Finding the Third Proportional to 53,946 and 83,757

Step by Step Solution

1. Step 1: Write the proportion equation
   53,946 : 83,757 = 83,757 : x
2. Step 2: Convert to fraction form
   53,946/83,757 = 83,757/x
3. Step 3: Cross multiply
   53,946x = 83,757 × 83,757
4. Step 4: Simplify right side
   53,946x = 7,015,235,049
5. Step 5: Solve for x
   x = 7,015,235,049/53,946
6. Step 6: Final answer
   x = 130,041.80