Finding the Third Proportional to 38,880 and 85,323.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,880 : 85,323.38 = 85,323.38 : x
2. Step 2: Convert to fraction form
   38,880/85,323.38 = 85,323.38/x
3. Step 3: Cross multiply
   38,880x = 85,323.38 × 85,323.38
4. Step 4: Simplify right side
   38,880x = 7,280,078,321.39
5. Step 5: Solve for x
   x = 7,280,078,321.39/38,880
6. Step 6: Final answer
   x = 187,244.81