Finding the Third Proportional to 37,666 and 55,347

Step by Step Solution

1. Step 1: Write the proportion equation
   37,666 : 55,347 = 55,347 : x
2. Step 2: Convert to fraction form
   37,666/55,347 = 55,347/x
3. Step 3: Cross multiply
   37,666x = 55,347 × 55,347
4. Step 4: Simplify right side
   37,666x = 3,063,290,409
5. Step 5: Solve for x
   x = 3,063,290,409/37,666
6. Step 6: Final answer
   x = 81,327.73