Finding the Third Proportional to 17,974 and 26,317.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,974 : 26,317.50 = 26,317.50 : x
2. Step 2: Convert to fraction form
   17,974/26,317.50 = 26,317.50/x
3. Step 3: Cross multiply
   17,974x = 26,317.50 × 26,317.50
4. Step 4: Simplify right side
   17,974x = 692,610,806.25
5. Step 5: Solve for x
   x = 692,610,806.25/17,974
6. Step 6: Final answer
   x = 38,534.04