Finding the Third Proportional to 38,880 and 85,050

Step by Step Solution

1. Step 1: Write the proportion equation
   38,880 : 85,050 = 85,050 : x
2. Step 2: Convert to fraction form
   38,880/85,050 = 85,050/x
3. Step 3: Cross multiply
   38,880x = 85,050 × 85,050
4. Step 4: Simplify right side
   38,880x = 7,233,502,500
5. Step 5: Solve for x
   x = 7,233,502,500/38,880
6. Step 6: Final answer
   x = 186,046.88