Finding the Third Proportional to 29,556 and 35,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,556 : 35,023.50 = 35,023.50 : x
2. Step 2: Convert to fraction form
   29,556/35,023.50 = 35,023.50/x
3. Step 3: Cross multiply
   29,556x = 35,023.50 × 35,023.50
4. Step 4: Simplify right side
   29,556x = 1,226,645,552.25
5. Step 5: Solve for x
   x = 1,226,645,552.25/29,556
6. Step 6: Final answer
   x = 41,502.42