Finding the Third Proportional to 33,642 and 52,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,642 : 52,102.50 = 52,102.50 : x
2. Step 2: Convert to fraction form
   33,642/52,102.50 = 52,102.50/x
3. Step 3: Cross multiply
   33,642x = 52,102.50 × 52,102.50
4. Step 4: Simplify right side
   33,642x = 2,714,670,506.25
5. Step 5: Solve for x
   x = 2,714,670,506.25/33,642
6. Step 6: Final answer
   x = 80,692.90