Finding the Third Proportional to 37,517.50 and 79,256

Step by Step Solution

1. Step 1: Write the proportion equation
   37,517.50 : 79,256 = 79,256 : x
2. Step 2: Convert to fraction form
   37,517.50/79,256 = 79,256/x
3. Step 3: Cross multiply
   37,517.50x = 79,256 × 79,256
4. Step 4: Simplify right side
   37,517.50x = 6,281,513,536
5. Step 5: Solve for x
   x = 6,281,513,536/37,517.50
6. Step 6: Final answer
   x = 167,428.89