Finding the Third Proportional to 37,606.50 and 81,348.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,606.50 : 81,348.75 = 81,348.75 : x
2. Step 2: Convert to fraction form
   37,606.50/81,348.75 = 81,348.75/x
3. Step 3: Cross multiply
   37,606.50x = 81,348.75 × 81,348.75
4. Step 4: Simplify right side
   37,606.50x = 6,617,619,126.56
5. Step 5: Solve for x
   x = 6,617,619,126.56/37,606.50
6. Step 6: Final answer
   x = 175,970.09