Finding the Third Proportional to 27,666 and 37,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,666 : 37,514.25 = 37,514.25 : x
2. Step 2: Convert to fraction form
   27,666/37,514.25 = 37,514.25/x
3. Step 3: Cross multiply
   27,666x = 37,514.25 × 37,514.25
4. Step 4: Simplify right side
   27,666x = 1,407,318,953.06
5. Step 5: Solve for x
   x = 1,407,318,953.06/27,666
6. Step 6: Final answer
   x = 50,868.18