Finding the Third Proportional to 30,408 and 45,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,408 : 45,566.50 = 45,566.50 : x
2. Step 2: Convert to fraction form
   30,408/45,566.50 = 45,566.50/x
3. Step 3: Cross multiply
   30,408x = 45,566.50 × 45,566.50
4. Step 4: Simplify right side
   30,408x = 2,076,305,922.25
5. Step 5: Solve for x
   x = 2,076,305,922.25/30,408
6. Step 6: Final answer
   x = 68,281.57