Finding the Third Proportional to 17,876 and 38,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,876 : 38,492.50 = 38,492.50 : x
2. Step 2: Convert to fraction form
   17,876/38,492.50 = 38,492.50/x
3. Step 3: Cross multiply
   17,876x = 38,492.50 × 38,492.50
4. Step 4: Simplify right side
   17,876x = 1,481,672,556.25
5. Step 5: Solve for x
   x = 1,481,672,556.25/17,876
6. Step 6: Final answer
   x = 82,886.14