Finding the Third Proportional to 13,178 and 21,070

Step by Step Solution

1. Step 1: Write the proportion equation
   13,178 : 21,070 = 21,070 : x
2. Step 2: Convert to fraction form
   13,178/21,070 = 21,070/x
3. Step 3: Cross multiply
   13,178x = 21,070 × 21,070
4. Step 4: Simplify right side
   13,178x = 443,944,900
5. Step 5: Solve for x
   x = 443,944,900/13,178
6. Step 6: Final answer
   x = 33,688.34