Finding the Third Proportional to 17,627.50 and 37,073

Step by Step Solution

1. Step 1: Write the proportion equation
   17,627.50 : 37,073 = 37,073 : x
2. Step 2: Convert to fraction form
   17,627.50/37,073 = 37,073/x
3. Step 3: Cross multiply
   17,627.50x = 37,073 × 37,073
4. Step 4: Simplify right side
   17,627.50x = 1,374,407,329
5. Step 5: Solve for x
   x = 1,374,407,329/17,627.50
6. Step 6: Final answer
   x = 77,969.50