Finding the Third Proportional to 37,148.25 and 81,066.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,148.25 : 81,066.75 = 81,066.75 : x
2. Step 2: Convert to fraction form
   37,148.25/81,066.75 = 81,066.75/x
3. Step 3: Cross multiply
   37,148.25x = 81,066.75 × 81,066.75
4. Step 4: Simplify right side
   37,148.25x = 6,571,817,955.56
5. Step 5: Solve for x
   x = 6,571,817,955.56/37,148.25
6. Step 6: Final answer
   x = 176,907.87