Finding the Third Proportional to 17,624 and 36,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,624 : 36,977.50 = 36,977.50 : x
2. Step 2: Convert to fraction form
   17,624/36,977.50 = 36,977.50/x
3. Step 3: Cross multiply
   17,624x = 36,977.50 × 36,977.50
4. Step 4: Simplify right side
   17,624x = 1,367,335,506.25
5. Step 5: Solve for x
   x = 1,367,335,506.25/17,624
6. Step 6: Final answer
   x = 77,583.72