Finding the Third Proportional to 21,199 and 31,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,199 : 31,148.50 = 31,148.50 : x
2. Step 2: Convert to fraction form
   21,199/31,148.50 = 31,148.50/x
3. Step 3: Cross multiply
   21,199x = 31,148.50 × 31,148.50
4. Step 4: Simplify right side
   21,199x = 970,229,052.25
5. Step 5: Solve for x
   x = 970,229,052.25/21,199
6. Step 6: Final answer
   x = 45,767.68