Finding the Third Proportional to 37,446.75 and 81,505.69

Step by Step Solution

1. Step 1: Write the proportion equation
   37,446.75 : 81,505.69 = 81,505.69 : x
2. Step 2: Convert to fraction form
   37,446.75/81,505.69 = 81,505.69/x
3. Step 3: Cross multiply
   37,446.75x = 81,505.69 × 81,505.69
4. Step 4: Simplify right side
   37,446.75x = 6,643,177,094.85
5. Step 5: Solve for x
   x = 6,643,177,094.85/37,446.75
6. Step 6: Final answer
   x = 177,403.30