Finding the Third Proportional to 17,460 and 38,178

Step by Step Solution

1. Step 1: Write the proportion equation
   17,460 : 38,178 = 38,178 : x
2. Step 2: Convert to fraction form
   17,460/38,178 = 38,178/x
3. Step 3: Cross multiply
   17,460x = 38,178 × 38,178
4. Step 4: Simplify right side
   17,460x = 1,457,559,684
5. Step 5: Solve for x
   x = 1,457,559,684/17,460
6. Step 6: Final answer
   x = 83,479.94