Finding the Third Proportional to 34,633.75 and 75,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,633.75 : 75,747.50 = 75,747.50 : x
2. Step 2: Convert to fraction form
   34,633.75/75,747.50 = 75,747.50/x
3. Step 3: Cross multiply
   34,633.75x = 75,747.50 × 75,747.50
4. Step 4: Simplify right side
   34,633.75x = 5,737,683,756.25
5. Step 5: Solve for x
   x = 5,737,683,756.25/34,633.75
6. Step 6: Final answer
   x = 165,667.41