Finding the Third Proportional to 37,641.88 and 81,844.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,641.88 : 81,844.75 = 81,844.75 : x
2. Step 2: Convert to fraction form
   37,641.88/81,844.75 = 81,844.75/x
3. Step 3: Cross multiply
   37,641.88x = 81,844.75 × 81,844.75
4. Step 4: Simplify right side
   37,641.88x = 6,698,563,102.56
5. Step 5: Solve for x
   x = 6,698,563,102.56/37,641.88
6. Step 6: Final answer
   x = 177,955.09