Finding the Third Proportional to 22,666 and 37,459

Step by Step Solution

1. Step 1: Write the proportion equation
   22,666 : 37,459 = 37,459 : x
2. Step 2: Convert to fraction form
   22,666/37,459 = 37,459/x
3. Step 3: Cross multiply
   22,666x = 37,459 × 37,459
4. Step 4: Simplify right side
   22,666x = 1,403,176,681
5. Step 5: Solve for x
   x = 1,403,176,681/22,666
6. Step 6: Final answer
   x = 61,906.67