Finding the Third Proportional to 21,645 and 32,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,645 : 32,701.50 = 32,701.50 : x
2. Step 2: Convert to fraction form
   21,645/32,701.50 = 32,701.50/x
3. Step 3: Cross multiply
   21,645x = 32,701.50 × 32,701.50
4. Step 4: Simplify right side
   21,645x = 1,069,388,102.25
5. Step 5: Solve for x
   x = 1,069,388,102.25/21,645
6. Step 6: Final answer
   x = 49,405.78