Finding the Third Proportional to 17,762 and 23,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,762 : 23,696.50 = 23,696.50 : x
2. Step 2: Convert to fraction form
   17,762/23,696.50 = 23,696.50/x
3. Step 3: Cross multiply
   17,762x = 23,696.50 × 23,696.50
4. Step 4: Simplify right side
   17,762x = 561,524,112.25
5. Step 5: Solve for x
   x = 561,524,112.25/17,762
6. Step 6: Final answer
   x = 31,613.79