Finding the Third Proportional to 37,666 and 56,502

Step by Step Solution

1. Step 1: Write the proportion equation
   37,666 : 56,502 = 56,502 : x
2. Step 2: Convert to fraction form
   37,666/56,502 = 56,502/x
3. Step 3: Cross multiply
   37,666x = 56,502 × 56,502
4. Step 4: Simplify right side
   37,666x = 3,192,476,004
5. Step 5: Solve for x
   x = 3,192,476,004/37,666
6. Step 6: Final answer
   x = 84,757.50