Finding the Third Proportional to 15,680 and 34,160

Step by Step Solution

1. Step 1: Write the proportion equation
   15,680 : 34,160 = 34,160 : x
2. Step 2: Convert to fraction form
   15,680/34,160 = 34,160/x
3. Step 3: Cross multiply
   15,680x = 34,160 × 34,160
4. Step 4: Simplify right side
   15,680x = 1,166,905,600
5. Step 5: Solve for x
   x = 1,166,905,600/15,680
6. Step 6: Final answer
   x = 74,420