Finding the Third Proportional to 17,645 and 38,532

Step by Step Solution

1. Step 1: Write the proportion equation
   17,645 : 38,532 = 38,532 : x
2. Step 2: Convert to fraction form
   17,645/38,532 = 38,532/x
3. Step 3: Cross multiply
   17,645x = 38,532 × 38,532
4. Step 4: Simplify right side
   17,645x = 1,484,715,024
5. Step 5: Solve for x
   x = 1,484,715,024/17,645
6. Step 6: Final answer
   x = 84,143.67