Finding the Third Proportional to 35,628.75 and 76,907.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,628.75 : 76,907.25 = 76,907.25 : x
2. Step 2: Convert to fraction form
   35,628.75/76,907.25 = 76,907.25/x
3. Step 3: Cross multiply
   35,628.75x = 76,907.25 × 76,907.25
4. Step 4: Simplify right side
   35,628.75x = 5,914,725,102.56
5. Step 5: Solve for x
   x = 5,914,725,102.56/35,628.75
6. Step 6: Final answer
   x = 166,009.90