Finding the Third Proportional to 17,680 and 37,280

Step by Step Solution

1. Step 1: Write the proportion equation
   17,680 : 37,280 = 37,280 : x
2. Step 2: Convert to fraction form
   17,680/37,280 = 37,280/x
3. Step 3: Cross multiply
   17,680x = 37,280 × 37,280
4. Step 4: Simplify right side
   17,680x = 1,389,798,400
5. Step 5: Solve for x
   x = 1,389,798,400/17,680
6. Step 6: Final answer
   x = 78,608.51