Finding the Third Proportional to 21,600 and 33,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,600 : 33,088.50 = 33,088.50 : x
2. Step 2: Convert to fraction form
   21,600/33,088.50 = 33,088.50/x
3. Step 3: Cross multiply
   21,600x = 33,088.50 × 33,088.50
4. Step 4: Simplify right side
   21,600x = 1,094,848,832.25
5. Step 5: Solve for x
   x = 1,094,848,832.25/21,600
6. Step 6: Final answer
   x = 50,687.45