Finding the Third Proportional to 53,825 and 77,046

Step by Step Solution

1. Step 1: Write the proportion equation
   53,825 : 77,046 = 77,046 : x
2. Step 2: Convert to fraction form
   53,825/77,046 = 77,046/x
3. Step 3: Cross multiply
   53,825x = 77,046 × 77,046
4. Step 4: Simplify right side
   53,825x = 5,936,086,116
5. Step 5: Solve for x
   x = 5,936,086,116/53,825
6. Step 6: Final answer
   x = 110,284.93