Finding the Third Proportional to 29,424 and 32,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,424 : 32,704.50 = 32,704.50 : x
2. Step 2: Convert to fraction form
   29,424/32,704.50 = 32,704.50/x
3. Step 3: Cross multiply
   29,424x = 32,704.50 × 32,704.50
4. Step 4: Simplify right side
   29,424x = 1,069,584,320.25
5. Step 5: Solve for x
   x = 1,069,584,320.25/29,424
6. Step 6: Final answer
   x = 36,350.74