Finding the Third Proportional to 35,150 and 53,769

Step by Step Solution

1. Step 1: Write the proportion equation
   35,150 : 53,769 = 53,769 : x
2. Step 2: Convert to fraction form
   35,150/53,769 = 53,769/x
3. Step 3: Cross multiply
   35,150x = 53,769 × 53,769
4. Step 4: Simplify right side
   35,150x = 2,891,105,361
5. Step 5: Solve for x
   x = 2,891,105,361/35,150
6. Step 6: Final answer
   x = 82,250.51