Finding the Third Proportional to 37,566.75 and 79,325.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,566.75 : 79,325.25 = 79,325.25 : x
2. Step 2: Convert to fraction form
   37,566.75/79,325.25 = 79,325.25/x
3. Step 3: Cross multiply
   37,566.75x = 79,325.25 × 79,325.25
4. Step 4: Simplify right side
   37,566.75x = 6,292,495,287.56
5. Step 5: Solve for x
   x = 6,292,495,287.56/37,566.75
6. Step 6: Final answer
   x = 167,501.72