Finding the Third Proportional to 30,286 and 70,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,286 : 70,742.50 = 70,742.50 : x
2. Step 2: Convert to fraction form
   30,286/70,742.50 = 70,742.50/x
3. Step 3: Cross multiply
   30,286x = 70,742.50 × 70,742.50
4. Step 4: Simplify right side
   30,286x = 5,004,501,306.25
5. Step 5: Solve for x
   x = 5,004,501,306.25/30,286
6. Step 6: Final answer
   x = 165,241.41