Finding the Third Proportional to 9,882 and 21,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882 : 21,838.50 = 21,838.50 : x
2. Step 2: Convert to fraction form
   9,882/21,838.50 = 21,838.50/x
3. Step 3: Cross multiply
   9,882x = 21,838.50 × 21,838.50
4. Step 4: Simplify right side
   9,882x = 476,920,082.25
5. Step 5: Solve for x
   x = 476,920,082.25/9,882
6. Step 6: Final answer
   x = 48,261.49