Finding the Third Proportional to 17,742.38 and 27,302.06

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742.38 : 27,302.06 = 27,302.06 : x
2. Step 2: Convert to fraction form
   17,742.38/27,302.06 = 27,302.06/x
3. Step 3: Cross multiply
   17,742.38x = 27,302.06 × 27,302.06
4. Step 4: Simplify right side
   17,742.38x = 745,402,616.75
5. Step 5: Solve for x
   x = 745,402,616.75/17,742.38
6. Step 6: Final answer
   x = 42,012.56