Finding the Third Proportional to 37,568 and 79,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,568 : 79,327.50 = 79,327.50 : x
2. Step 2: Convert to fraction form
   37,568/79,327.50 = 79,327.50/x
3. Step 3: Cross multiply
   37,568x = 79,327.50 × 79,327.50
4. Step 4: Simplify right side
   37,568x = 6,292,852,256.25
5. Step 5: Solve for x
   x = 6,292,852,256.25/37,568
6. Step 6: Final answer
   x = 167,505.65