Finding the Third Proportional to 13,838 and 32,946

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838 : 32,946 = 32,946 : x
2. Step 2: Convert to fraction form
   13,838/32,946 = 32,946/x
3. Step 3: Cross multiply
   13,838x = 32,946 × 32,946
4. Step 4: Simplify right side
   13,838x = 1,085,438,916
5. Step 5: Solve for x
   x = 1,085,438,916/13,838
6. Step 6: Final answer
   x = 78,439.00