Finding the Third Proportional to 35,517 and 53,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,517 : 53,923.50 = 53,923.50 : x
2. Step 2: Convert to fraction form
   35,517/53,923.50 = 53,923.50/x
3. Step 3: Cross multiply
   35,517x = 53,923.50 × 53,923.50
4. Step 4: Simplify right side
   35,517x = 2,907,743,852.25
5. Step 5: Solve for x
   x = 2,907,743,852.25/35,517
6. Step 6: Final answer
   x = 81,869.07