Finding the Third Proportional to 36,996 and 79,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,996 : 79,903.50 = 79,903.50 : x
2. Step 2: Convert to fraction form
   36,996/79,903.50 = 79,903.50/x
3. Step 3: Cross multiply
   36,996x = 79,903.50 × 79,903.50
4. Step 4: Simplify right side
   36,996x = 6,384,569,312.25
5. Step 5: Solve for x
   x = 6,384,569,312.25/36,996
6. Step 6: Final answer
   x = 172,574.58