Finding the Third Proportional to 35,969.50 and 53,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,969.50 : 53,256.25 = 53,256.25 : x
2. Step 2: Convert to fraction form
   35,969.50/53,256.25 = 53,256.25/x
3. Step 3: Cross multiply
   35,969.50x = 53,256.25 × 53,256.25
4. Step 4: Simplify right side
   35,969.50x = 2,836,228,164.06
5. Step 5: Solve for x
   x = 2,836,228,164.06/35,969.50
6. Step 6: Final answer
   x = 78,850.92