Finding the Third Proportional to 37,186 and 56,650.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,186 : 56,650.25 = 56,650.25 : x
2. Step 2: Convert to fraction form
   37,186/56,650.25 = 56,650.25/x
3. Step 3: Cross multiply
   37,186x = 56,650.25 × 56,650.25
4. Step 4: Simplify right side
   37,186x = 3,209,250,825.06
5. Step 5: Solve for x
   x = 3,209,250,825.06/37,186
6. Step 6: Final answer
   x = 86,302.66