Finding the Third Proportional to 33,638.63 and 52,052.20

Step by Step Solution

1. Step 1: Write the proportion equation
   33,638.63 : 52,052.20 = 52,052.20 : x
2. Step 2: Convert to fraction form
   33,638.63/52,052.20 = 52,052.20/x
3. Step 3: Cross multiply
   33,638.63x = 52,052.20 × 52,052.20
4. Step 4: Simplify right side
   33,638.63x = 2,709,431,850.17
5. Step 5: Solve for x
   x = 2,709,431,850.17/33,638.63
6. Step 6: Final answer
   x = 80,545.26