Finding the Third Proportional to 37,447.25 and 81,507.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,447.25 : 81,507.25 = 81,507.25 : x
2. Step 2: Convert to fraction form
   37,447.25/81,507.25 = 81,507.25/x
3. Step 3: Cross multiply
   37,447.25x = 81,507.25 × 81,507.25
4. Step 4: Simplify right side
   37,447.25x = 6,643,431,802.56
5. Step 5: Solve for x
   x = 6,643,431,802.56/37,447.25
6. Step 6: Final answer
   x = 177,407.73