Finding the Third Proportional to 8,154 and 17,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,154 : 17,492.50 = 17,492.50 : x
2. Step 2: Convert to fraction form
   8,154/17,492.50 = 17,492.50/x
3. Step 3: Cross multiply
   8,154x = 17,492.50 × 17,492.50
4. Step 4: Simplify right side
   8,154x = 305,987,556.25
5. Step 5: Solve for x
   x = 305,987,556.25/8,154
6. Step 6: Final answer
   x = 37,526.07