Finding the Third Proportional to 22,752 and 33,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,752 : 33,952.50 = 33,952.50 : x
2. Step 2: Convert to fraction form
   22,752/33,952.50 = 33,952.50/x
3. Step 3: Cross multiply
   22,752x = 33,952.50 × 33,952.50
4. Step 4: Simplify right side
   22,752x = 1,152,772,256.25
5. Step 5: Solve for x
   x = 1,152,772,256.25/22,752
6. Step 6: Final answer
   x = 50,666.85