Finding the Third Proportional to 9,878.50 and 21,532

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878.50 : 21,532 = 21,532 : x
2. Step 2: Convert to fraction form
   9,878.50/21,532 = 21,532/x
3. Step 3: Cross multiply
   9,878.50x = 21,532 × 21,532
4. Step 4: Simplify right side
   9,878.50x = 463,627,024
5. Step 5: Solve for x
   x = 463,627,024/9,878.50
6. Step 6: Final answer
   x = 46,932.94