Finding the Third Proportional to 23,478 and 30,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,478 : 30,478.50 = 30,478.50 : x
2. Step 2: Convert to fraction form
   23,478/30,478.50 = 30,478.50/x
3. Step 3: Cross multiply
   23,478x = 30,478.50 × 30,478.50
4. Step 4: Simplify right side
   23,478x = 928,938,962.25
5. Step 5: Solve for x
   x = 928,938,962.25/23,478
6. Step 6: Final answer
   x = 39,566.36