Finding the Third Proportional to 22,800 and 33,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,800 : 33,412.50 = 33,412.50 : x
2. Step 2: Convert to fraction form
   22,800/33,412.50 = 33,412.50/x
3. Step 3: Cross multiply
   22,800x = 33,412.50 × 33,412.50
4. Step 4: Simplify right side
   22,800x = 1,116,395,156.25
5. Step 5: Solve for x
   x = 1,116,395,156.25/22,800
6. Step 6: Final answer
   x = 48,964.70