Finding the Third Proportional to 30,679 and 45,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,679 : 45,586.50 = 45,586.50 : x
2. Step 2: Convert to fraction form
   30,679/45,586.50 = 45,586.50/x
3. Step 3: Cross multiply
   30,679x = 45,586.50 × 45,586.50
4. Step 4: Simplify right side
   30,679x = 2,078,128,982.25
5. Step 5: Solve for x
   x = 2,078,128,982.25/30,679
6. Step 6: Final answer
   x = 67,737.83