Finding the Third Proportional to 17,626.50 and 37,071

Step by Step Solution

1. Step 1: Write the proportion equation
   17,626.50 : 37,071 = 37,071 : x
2. Step 2: Convert to fraction form
   17,626.50/37,071 = 37,071/x
3. Step 3: Cross multiply
   17,626.50x = 37,071 × 37,071
4. Step 4: Simplify right side
   17,626.50x = 1,374,259,041
5. Step 5: Solve for x
   x = 1,374,259,041/17,626.50
6. Step 6: Final answer
   x = 77,965.51