Finding the Third Proportional to 22,400 and 37,191

Step by Step Solution

1. Step 1: Write the proportion equation
   22,400 : 37,191 = 37,191 : x
2. Step 2: Convert to fraction form
   22,400/37,191 = 37,191/x
3. Step 3: Cross multiply
   22,400x = 37,191 × 37,191
4. Step 4: Simplify right side
   22,400x = 1,383,170,481
5. Step 5: Solve for x
   x = 1,383,170,481/22,400
6. Step 6: Final answer
   x = 61,748.68