Finding the Third Proportional to 21,643.50 and 32,465.25

Step by Step Solution

1. Step 1: Write the proportion equation
   21,643.50 : 32,465.25 = 32,465.25 : x
2. Step 2: Convert to fraction form
   21,643.50/32,465.25 = 32,465.25/x
3. Step 3: Cross multiply
   21,643.50x = 32,465.25 × 32,465.25
4. Step 4: Simplify right side
   21,643.50x = 1,053,992,457.56
5. Step 5: Solve for x
   x = 1,053,992,457.56/21,643.50
6. Step 6: Final answer
   x = 48,697.88