Finding the Third Proportional to 10,946 and 17,335.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946 : 17,335.25 = 17,335.25 : x
2. Step 2: Convert to fraction form
   10,946/17,335.25 = 17,335.25/x
3. Step 3: Cross multiply
   10,946x = 17,335.25 × 17,335.25
4. Step 4: Simplify right side
   10,946x = 300,510,892.56
5. Step 5: Solve for x
   x = 300,510,892.56/10,946
6. Step 6: Final answer
   x = 27,453.95