Finding the Third Proportional to 35,550 and 76,475.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,550 : 76,475.25 = 76,475.25 : x
2. Step 2: Convert to fraction form
   35,550/76,475.25 = 76,475.25/x
3. Step 3: Cross multiply
   35,550x = 76,475.25 × 76,475.25
4. Step 4: Simplify right side
   35,550x = 5,848,463,862.56
5. Step 5: Solve for x
   x = 5,848,463,862.56/35,550
6. Step 6: Final answer
   x = 164,513.75