Finding the Third Proportional to 10,645 and 23,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,645 : 23,148.50 = 23,148.50 : x
2. Step 2: Convert to fraction form
   10,645/23,148.50 = 23,148.50/x
3. Step 3: Cross multiply
   10,645x = 23,148.50 × 23,148.50
4. Step 4: Simplify right side
   10,645x = 535,853,052.25
5. Step 5: Solve for x
   x = 535,853,052.25/10,645
6. Step 6: Final answer
   x = 50,338.47