Finding the Third Proportional to 7,815 and 17,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,815 : 17,590.50 = 17,590.50 : x
2. Step 2: Convert to fraction form
   7,815/17,590.50 = 17,590.50/x
3. Step 3: Cross multiply
   7,815x = 17,590.50 × 17,590.50
4. Step 4: Simplify right side
   7,815x = 309,425,690.25
5. Step 5: Solve for x
   x = 309,425,690.25/7,815
6. Step 6: Final answer
   x = 39,593.82