Finding the Third Proportional to 37,825.88 and 55,643.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,825.88 : 55,643.63 = 55,643.63 : x
2. Step 2: Convert to fraction form
   37,825.88/55,643.63 = 55,643.63/x
3. Step 3: Cross multiply
   37,825.88x = 55,643.63 × 55,643.63
4. Step 4: Simplify right side
   37,825.88x = 3,096,213,003.14
5. Step 5: Solve for x
   x = 3,096,213,003.14/37,825.88
6. Step 6: Final answer
   x = 81,854.37