Finding the Third Proportional to 17,672 and 38,461

Step by Step Solution

1. Step 1: Write the proportion equation
   17,672 : 38,461 = 38,461 : x
2. Step 2: Convert to fraction form
   17,672/38,461 = 38,461/x
3. Step 3: Cross multiply
   17,672x = 38,461 × 38,461
4. Step 4: Simplify right side
   17,672x = 1,479,248,521
5. Step 5: Solve for x
   x = 1,479,248,521/17,672
6. Step 6: Final answer
   x = 83,705.78