Finding the Third Proportional to 1,221.50 and 2,381.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,221.50 : 2,381.88 = 2,381.88 : x
2. Step 2: Convert to fraction form
   1,221.50/2,381.88 = 2,381.88/x
3. Step 3: Cross multiply
   1,221.50x = 2,381.88 × 2,381.88
4. Step 4: Simplify right side
   1,221.50x = 5,673,328.52
5. Step 5: Solve for x
   x = 5,673,328.52/1,221.50
6. Step 6: Final answer
   x = 4,644.56