Finding the Third Proportional to 10,970 and 16,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,970 : 16,045.50 = 16,045.50 : x
2. Step 2: Convert to fraction form
   10,970/16,045.50 = 16,045.50/x
3. Step 3: Cross multiply
   10,970x = 16,045.50 × 16,045.50
4. Step 4: Simplify right side
   10,970x = 257,458,070.25
5. Step 5: Solve for x
   x = 257,458,070.25/10,970
6. Step 6: Final answer
   x = 23,469.29