Finding the Third Proportional to 22,655 and 37,442

Step by Step Solution

1. Step 1: Write the proportion equation
   22,655 : 37,442 = 37,442 : x
2. Step 2: Convert to fraction form
   22,655/37,442 = 37,442/x
3. Step 3: Cross multiply
   22,655x = 37,442 × 37,442
4. Step 4: Simplify right side
   22,655x = 1,401,903,364
5. Step 5: Solve for x
   x = 1,401,903,364/22,655
6. Step 6: Final answer
   x = 61,880.53