Finding the Third Proportional to 38,281.50 and 42,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,281.50 : 42,007.50 = 42,007.50 : x
2. Step 2: Convert to fraction form
   38,281.50/42,007.50 = 42,007.50/x
3. Step 3: Cross multiply
   38,281.50x = 42,007.50 × 42,007.50
4. Step 4: Simplify right side
   38,281.50x = 1,764,630,056.25
5. Step 5: Solve for x
   x = 1,764,630,056.25/38,281.50
6. Step 6: Final answer
   x = 46,096.16