Finding the Third Proportional to 17,625 and 36,979.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,625 : 36,979.50 = 36,979.50 : x
2. Step 2: Convert to fraction form
   17,625/36,979.50 = 36,979.50/x
3. Step 3: Cross multiply
   17,625x = 36,979.50 × 36,979.50
4. Step 4: Simplify right side
   17,625x = 1,367,483,420.25
5. Step 5: Solve for x
   x = 1,367,483,420.25/17,625
6. Step 6: Final answer
   x = 77,587.71