Finding the Third Proportional to 17,742.38 and 37,648.13

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742.38 : 37,648.13 = 37,648.13 : x
2. Step 2: Convert to fraction form
   17,742.38/37,648.13 = 37,648.13/x
3. Step 3: Cross multiply
   17,742.38x = 37,648.13 × 37,648.13
4. Step 4: Simplify right side
   17,742.38x = 1,417,381,316.02
5. Step 5: Solve for x
   x = 1,417,381,316.02/17,742.38
6. Step 6: Final answer
   x = 79,886.79