Finding the Third Proportional to 33,714 and 48,561.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,714 : 48,561.75 = 48,561.75 : x
2. Step 2: Convert to fraction form
   33,714/48,561.75 = 48,561.75/x
3. Step 3: Cross multiply
   33,714x = 48,561.75 × 48,561.75
4. Step 4: Simplify right side
   33,714x = 2,358,243,563.06
5. Step 5: Solve for x
   x = 2,358,243,563.06/33,714
6. Step 6: Final answer
   x = 69,948.50