Finding the Third Proportional to 10,080 and 19,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080 : 19,390.50 = 19,390.50 : x
2. Step 2: Convert to fraction form
   10,080/19,390.50 = 19,390.50/x
3. Step 3: Cross multiply
   10,080x = 19,390.50 × 19,390.50
4. Step 4: Simplify right side
   10,080x = 375,991,490.25
5. Step 5: Solve for x
   x = 375,991,490.25/10,080
6. Step 6: Final answer
   x = 37,300.74