Finding the Third Proportional to 34,578 and 75,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,578 : 75,667.50 = 75,667.50 : x
2. Step 2: Convert to fraction form
   34,578/75,667.50 = 75,667.50/x
3. Step 3: Cross multiply
   34,578x = 75,667.50 × 75,667.50
4. Step 4: Simplify right side
   34,578x = 5,725,570,556.25
5. Step 5: Solve for x
   x = 5,725,570,556.25/34,578
6. Step 6: Final answer
   x = 165,584.20