Finding the Third Proportional to 7,817.63 and 17,154.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,817.63 : 17,154.38 = 17,154.38 : x
2. Step 2: Convert to fraction form
   7,817.63/17,154.38 = 17,154.38/x
3. Step 3: Cross multiply
   7,817.63x = 17,154.38 × 17,154.38
4. Step 4: Simplify right side
   7,817.63x = 294,272,581.64
5. Step 5: Solve for x
   x = 294,272,581.64/7,817.63
6. Step 6: Final answer
   x = 37,642.20