Finding the Third Proportional to 21,438 and 32,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,438 : 32,116.50 = 32,116.50 : x
2. Step 2: Convert to fraction form
   21,438/32,116.50 = 32,116.50/x
3. Step 3: Cross multiply
   21,438x = 32,116.50 × 32,116.50
4. Step 4: Simplify right side
   21,438x = 1,031,469,572.25
5. Step 5: Solve for x
   x = 1,031,469,572.25/21,438
6. Step 6: Final answer
   x = 48,114.08