Finding the Third Proportional to 38,042 and 57,069

Step by Step Solution

1. Step 1: Write the proportion equation
   38,042 : 57,069 = 57,069 : x
2. Step 2: Convert to fraction form
   38,042/57,069 = 57,069/x
3. Step 3: Cross multiply
   38,042x = 57,069 × 57,069
4. Step 4: Simplify right side
   38,042x = 3,256,870,761
5. Step 5: Solve for x
   x = 3,256,870,761/38,042
6. Step 6: Final answer
   x = 85,612.50