Finding the Third Proportional to 17,380 and 37,516

Step by Step Solution

1. Step 1: Write the proportion equation
   17,380 : 37,516 = 37,516 : x
2. Step 2: Convert to fraction form
   17,380/37,516 = 37,516/x
3. Step 3: Cross multiply
   17,380x = 37,516 × 37,516
4. Step 4: Simplify right side
   17,380x = 1,407,450,256
5. Step 5: Solve for x
   x = 1,407,450,256/17,380
6. Step 6: Final answer
   x = 80,981.03