Finding the Third Proportional to 10,584.74 and 23,014.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.74 : 23,014.76 = 23,014.76 : x
2. Step 2: Convert to fraction form
   10,584.74/23,014.76 = 23,014.76/x
3. Step 3: Cross multiply
   10,584.74x = 23,014.76 × 23,014.76
4. Step 4: Simplify right side
   10,584.74x = 529,679,077.17
5. Step 5: Solve for x
   x = 529,679,077.17/10,584.74
6. Step 6: Final answer
   x = 50,041.77