Finding the Third Proportional to 17,817 and 37,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,817 : 37,645.50 = 37,645.50 : x
2. Step 2: Convert to fraction form
   17,817/37,645.50 = 37,645.50/x
3. Step 3: Cross multiply
   17,817x = 37,645.50 × 37,645.50
4. Step 4: Simplify right side
   17,817x = 1,417,183,670.25
5. Step 5: Solve for x
   x = 1,417,183,670.25/17,817
6. Step 6: Final answer
   x = 79,541.09