Finding the Third Proportional to 23,580 and 50,834.63

Step by Step Solution

1. Step 1: Write the proportion equation
   23,580 : 50,834.63 = 50,834.63 : x
2. Step 2: Convert to fraction form
   23,580/50,834.63 = 50,834.63/x
3. Step 3: Cross multiply
   23,580x = 50,834.63 × 50,834.63
4. Step 4: Simplify right side
   23,580x = 2,584,159,098.89
5. Step 5: Solve for x
   x = 2,584,159,098.89/23,580
6. Step 6: Final answer
   x = 109,591.14