Finding the Third Proportional to 35,853 and 53,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,853 : 53,716.50 = 53,716.50 : x
2. Step 2: Convert to fraction form
   35,853/53,716.50 = 53,716.50/x
3. Step 3: Cross multiply
   35,853x = 53,716.50 × 53,716.50
4. Step 4: Simplify right side
   35,853x = 2,885,462,372.25
5. Step 5: Solve for x
   x = 2,885,462,372.25/35,853
6. Step 6: Final answer
   x = 80,480.36