Finding the Third Proportional to 17,677 and 25,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,677 : 25,563.50 = 25,563.50 : x
2. Step 2: Convert to fraction form
   17,677/25,563.50 = 25,563.50/x
3. Step 3: Cross multiply
   17,677x = 25,563.50 × 25,563.50
4. Step 4: Simplify right side
   17,677x = 653,492,532.25
5. Step 5: Solve for x
   x = 653,492,532.25/17,677
6. Step 6: Final answer
   x = 36,968.52