Finding the Third Proportional to 21,642 and 32,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,642 : 32,697.50 = 32,697.50 : x
2. Step 2: Convert to fraction form
   21,642/32,697.50 = 32,697.50/x
3. Step 3: Cross multiply
   21,642x = 32,697.50 × 32,697.50
4. Step 4: Simplify right side
   21,642x = 1,069,126,506.25
5. Step 5: Solve for x
   x = 1,069,126,506.25/21,642
6. Step 6: Final answer
   x = 49,400.54