Finding the Third Proportional to 29,223 and 32,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,223 : 32,017.50 = 32,017.50 : x
2. Step 2: Convert to fraction form
   29,223/32,017.50 = 32,017.50/x
3. Step 3: Cross multiply
   29,223x = 32,017.50 × 32,017.50
4. Step 4: Simplify right side
   29,223x = 1,025,120,306.25
5. Step 5: Solve for x
   x = 1,025,120,306.25/29,223
6. Step 6: Final answer
   x = 35,079.23