Finding the Third Proportional to 17,742.38 and 38,174.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742.38 : 38,174.63 = 38,174.63 : x
2. Step 2: Convert to fraction form
   17,742.38/38,174.63 = 38,174.63/x
3. Step 3: Cross multiply
   17,742.38x = 38,174.63 × 38,174.63
4. Step 4: Simplify right side
   17,742.38x = 1,457,301,993.89
5. Step 5: Solve for x
   x = 1,457,301,993.89/17,742.38
6. Step 6: Final answer
   x = 82,136.80