Finding the Third Proportional to 35,538.75 and 76,438.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,538.75 : 76,438.69 = 76,438.69 : x
2. Step 2: Convert to fraction form
   35,538.75/76,438.69 = 76,438.69/x
3. Step 3: Cross multiply
   35,538.75x = 76,438.69 × 76,438.69
4. Step 4: Simplify right side
   35,538.75x = 5,842,872,946.72
5. Step 5: Solve for x
   x = 5,842,872,946.72/35,538.75
6. Step 6: Final answer
   x = 164,408.51