Finding the Third Proportional to 35,617.50 and 76,476

Step by Step Solution

1. Step 1: Write the proportion equation
   35,617.50 : 76,476 = 76,476 : x
2. Step 2: Convert to fraction form
   35,617.50/76,476 = 76,476/x
3. Step 3: Cross multiply
   35,617.50x = 76,476 × 76,476
4. Step 4: Simplify right side
   35,617.50x = 5,848,578,576
5. Step 5: Solve for x
   x = 5,848,578,576/35,617.50
6. Step 6: Final answer
   x = 164,205.20