Finding the Third Proportional to 17,640.28 and 37,706.77

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640.28 : 37,706.77 = 37,706.77 : x
2. Step 2: Convert to fraction form
   17,640.28/37,706.77 = 37,706.77/x
3. Step 3: Cross multiply
   17,640.28x = 37,706.77 × 37,706.77
4. Step 4: Simplify right side
   17,640.28x = 1,421,800,173.90
5. Step 5: Solve for x
   x = 1,421,800,173.90/17,640.28
6. Step 6: Final answer
   x = 80,599.63