Finding the Third Proportional to 37,827.75 and 81,490.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827.75 : 81,490.75 = 81,490.75 : x
2. Step 2: Convert to fraction form
   37,827.75/81,490.75 = 81,490.75/x
3. Step 3: Cross multiply
   37,827.75x = 81,490.75 × 81,490.75
4. Step 4: Simplify right side
   37,827.75x = 6,640,742,335.56
5. Step 5: Solve for x
   x = 6,640,742,335.56/37,827.75
6. Step 6: Final answer
   x = 175,552.14