Finding the Third Proportional to 15,771 and 37,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,771 : 37,468.50 = 37,468.50 : x
2. Step 2: Convert to fraction form
   15,771/37,468.50 = 37,468.50/x
3. Step 3: Cross multiply
   15,771x = 37,468.50 × 37,468.50
4. Step 4: Simplify right side
   15,771x = 1,403,888,492.25
5. Step 5: Solve for x
   x = 1,403,888,492.25/15,771
6. Step 6: Final answer
   x = 89,017.09