Finding the Third Proportional to 21,219 and 32,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,219 : 32,506.50 = 32,506.50 : x
2. Step 2: Convert to fraction form
   21,219/32,506.50 = 32,506.50/x
3. Step 3: Cross multiply
   21,219x = 32,506.50 × 32,506.50
4. Step 4: Simplify right side
   21,219x = 1,056,672,542.25
5. Step 5: Solve for x
   x = 1,056,672,542.25/21,219
6. Step 6: Final answer
   x = 49,798.41