Finding the Third Proportional to 17,895 and 38,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,895 : 38,638.50 = 38,638.50 : x
2. Step 2: Convert to fraction form
   17,895/38,638.50 = 38,638.50/x
3. Step 3: Cross multiply
   17,895x = 38,638.50 × 38,638.50
4. Step 4: Simplify right side
   17,895x = 1,492,933,682.25
5. Step 5: Solve for x
   x = 1,492,933,682.25/17,895
6. Step 6: Final answer
   x = 83,427.42