Finding the Third Proportional to 38,142 and 83,880

Step by Step Solution

1. Step 1: Write the proportion equation
   38,142 : 83,880 = 83,880 : x
2. Step 2: Convert to fraction form
   38,142/83,880 = 83,880/x
3. Step 3: Cross multiply
   38,142x = 83,880 × 83,880
4. Step 4: Simplify right side
   38,142x = 7,035,854,400
5. Step 5: Solve for x
   x = 7,035,854,400/38,142
6. Step 6: Final answer
   x = 184,464.75