Finding the Third Proportional to 37,680 and 57,005

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680 : 57,005 = 57,005 : x
2. Step 2: Convert to fraction form
   37,680/57,005 = 57,005/x
3. Step 3: Cross multiply
   37,680x = 57,005 × 57,005
4. Step 4: Simplify right side
   37,680x = 3,249,570,025
5. Step 5: Solve for x
   x = 3,249,570,025/37,680
6. Step 6: Final answer
   x = 86,241.24