Finding the Third Proportional to 23,047 and 34,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,047 : 34,423.50 = 34,423.50 : x
2. Step 2: Convert to fraction form
   23,047/34,423.50 = 34,423.50/x
3. Step 3: Cross multiply
   23,047x = 34,423.50 × 34,423.50
4. Step 4: Simplify right side
   23,047x = 1,184,977,352.25
5. Step 5: Solve for x
   x = 1,184,977,352.25/23,047
6. Step 6: Final answer
   x = 51,415.69