Finding the Third Proportional to 37,112 and 55,666

Step by Step Solution

1. Step 1: Write the proportion equation
   37,112 : 55,666 = 55,666 : x
2. Step 2: Convert to fraction form
   37,112/55,666 = 55,666/x
3. Step 3: Cross multiply
   37,112x = 55,666 × 55,666
4. Step 4: Simplify right side
   37,112x = 3,098,703,556
5. Step 5: Solve for x
   x = 3,098,703,556/37,112
6. Step 6: Final answer
   x = 83,496.00