Finding the Third Proportional to 21,519 and 45,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,519 : 45,646.50 = 45,646.50 : x
2. Step 2: Convert to fraction form
   21,519/45,646.50 = 45,646.50/x
3. Step 3: Cross multiply
   21,519x = 45,646.50 × 45,646.50
4. Step 4: Simplify right side
   21,519x = 2,083,602,962.25
5. Step 5: Solve for x
   x = 2,083,602,962.25/21,519
6. Step 6: Final answer
   x = 96,826.20