Finding the Third Proportional to 30,829.50 and 32,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,829.50 : 32,773.50 = 32,773.50 : x
2. Step 2: Convert to fraction form
   30,829.50/32,773.50 = 32,773.50/x
3. Step 3: Cross multiply
   30,829.50x = 32,773.50 × 32,773.50
4. Step 4: Simplify right side
   30,829.50x = 1,074,102,302.25
5. Step 5: Solve for x
   x = 1,074,102,302.25/30,829.50
6. Step 6: Final answer
   x = 34,840.08