Finding the Third Proportional to 21,384 and 31,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,384 : 31,915.50 = 31,915.50 : x
2. Step 2: Convert to fraction form
   21,384/31,915.50 = 31,915.50/x
3. Step 3: Cross multiply
   21,384x = 31,915.50 × 31,915.50
4. Step 4: Simplify right side
   21,384x = 1,018,599,140.25
5. Step 5: Solve for x
   x = 1,018,599,140.25/21,384
6. Step 6: Final answer
   x = 47,633.70