Finding the Third Proportional to 21,097 and 32,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,097 : 32,374.50 = 32,374.50 : x
2. Step 2: Convert to fraction form
   21,097/32,374.50 = 32,374.50/x
3. Step 3: Cross multiply
   21,097x = 32,374.50 × 32,374.50
4. Step 4: Simplify right side
   21,097x = 1,048,108,250.25
5. Step 5: Solve for x
   x = 1,048,108,250.25/21,097
6. Step 6: Final answer
   x = 49,680.44