Finding the Third Proportional to 9,688 and 14,969

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688 : 14,969 = 14,969 : x
2. Step 2: Convert to fraction form
   9,688/14,969 = 14,969/x
3. Step 3: Cross multiply
   9,688x = 14,969 × 14,969
4. Step 4: Simplify right side
   9,688x = 224,070,961
5. Step 5: Solve for x
   x = 224,070,961/9,688
6. Step 6: Final answer
   x = 23,128.71