Finding the Third Proportional to 37,080 and 57,890

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080 : 57,890 = 57,890 : x
2. Step 2: Convert to fraction form
   37,080/57,890 = 57,890/x
3. Step 3: Cross multiply
   37,080x = 57,890 × 57,890
4. Step 4: Simplify right side
   37,080x = 3,351,252,100
5. Step 5: Solve for x
   x = 3,351,252,100/37,080
6. Step 6: Final answer
   x = 90,378.97