Finding the Third Proportional to 35,781.75 and 87,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,781.75 : 87,662.25 = 87,662.25 : x
2. Step 2: Convert to fraction form
   35,781.75/87,662.25 = 87,662.25/x
3. Step 3: Cross multiply
   35,781.75x = 87,662.25 × 87,662.25
4. Step 4: Simplify right side
   35,781.75x = 7,684,670,075.06
5. Step 5: Solve for x
   x = 7,684,670,075.06/35,781.75
6. Step 6: Final answer
   x = 214,765.07