Finding the Third Proportional to 38,090 and 57,945

Step by Step Solution

1. Step 1: Write the proportion equation
   38,090 : 57,945 = 57,945 : x
2. Step 2: Convert to fraction form
   38,090/57,945 = 57,945/x
3. Step 3: Cross multiply
   38,090x = 57,945 × 57,945
4. Step 4: Simplify right side
   38,090x = 3,357,623,025
5. Step 5: Solve for x
   x = 3,357,623,025/38,090
6. Step 6: Final answer
   x = 88,149.72