Finding the Third Proportional to 12,314 and 26,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,314 : 26,378.50 = 26,378.50 : x
2. Step 2: Convert to fraction form
   12,314/26,378.50 = 26,378.50/x
3. Step 3: Cross multiply
   12,314x = 26,378.50 × 26,378.50
4. Step 4: Simplify right side
   12,314x = 695,825,262.25
5. Step 5: Solve for x
   x = 695,825,262.25/12,314
6. Step 6: Final answer
   x = 56,506.84