Finding the Third Proportional to 24,772 and 37,422

Step by Step Solution

1. Step 1: Write the proportion equation
   24,772 : 37,422 = 37,422 : x
2. Step 2: Convert to fraction form
   24,772/37,422 = 37,422/x
3. Step 3: Cross multiply
   24,772x = 37,422 × 37,422
4. Step 4: Simplify right side
   24,772x = 1,400,406,084
5. Step 5: Solve for x
   x = 1,400,406,084/24,772
6. Step 6: Final answer
   x = 56,531.81