Finding the Third Proportional to 30,213 and 40,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,213 : 40,558.50 = 40,558.50 : x
2. Step 2: Convert to fraction form
   30,213/40,558.50 = 40,558.50/x
3. Step 3: Cross multiply
   30,213x = 40,558.50 × 40,558.50
4. Step 4: Simplify right side
   30,213x = 1,644,991,922.25
5. Step 5: Solve for x
   x = 1,644,991,922.25/30,213
6. Step 6: Final answer
   x = 54,446.49