Finding the Third Proportional to 15,880.50 and 37,626.75

Step by Step Solution

1. Step 1: Write the proportion equation
   15,880.50 : 37,626.75 = 37,626.75 : x
2. Step 2: Convert to fraction form
   15,880.50/37,626.75 = 37,626.75/x
3. Step 3: Cross multiply
   15,880.50x = 37,626.75 × 37,626.75
4. Step 4: Simplify right side
   15,880.50x = 1,415,772,315.56
5. Step 5: Solve for x
   x = 1,415,772,315.56/15,880.50
6. Step 6: Final answer
   x = 89,151.62