Finding the Third Proportional to 30,675 and 43,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,675 : 43,186.50 = 43,186.50 : x
2. Step 2: Convert to fraction form
   30,675/43,186.50 = 43,186.50/x
3. Step 3: Cross multiply
   30,675x = 43,186.50 × 43,186.50
4. Step 4: Simplify right side
   30,675x = 1,865,073,782.25
5. Step 5: Solve for x
   x = 1,865,073,782.25/30,675
6. Step 6: Final answer
   x = 60,801.10