Finding the Third Proportional to 17,380 and 37,946

Step by Step Solution

1. Step 1: Write the proportion equation
   17,380 : 37,946 = 37,946 : x
2. Step 2: Convert to fraction form
   17,380/37,946 = 37,946/x
3. Step 3: Cross multiply
   17,380x = 37,946 × 37,946
4. Step 4: Simplify right side
   17,380x = 1,439,898,916
5. Step 5: Solve for x
   x = 1,439,898,916/17,380
6. Step 6: Final answer
   x = 82,848.04