Finding the Third Proportional to 17,633 and 25,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,633 : 25,865.50 = 25,865.50 : x
2. Step 2: Convert to fraction form
   17,633/25,865.50 = 25,865.50/x
3. Step 3: Cross multiply
   17,633x = 25,865.50 × 25,865.50
4. Step 4: Simplify right side
   17,633x = 669,024,090.25
5. Step 5: Solve for x
   x = 669,024,090.25/17,633
6. Step 6: Final answer
   x = 37,941.59