Finding the Third Proportional to 20,942 and 45,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,942 : 45,649.50 = 45,649.50 : x
2. Step 2: Convert to fraction form
   20,942/45,649.50 = 45,649.50/x
3. Step 3: Cross multiply
   20,942x = 45,649.50 × 45,649.50
4. Step 4: Simplify right side
   20,942x = 2,083,876,850.25
5. Step 5: Solve for x
   x = 2,083,876,850.25/20,942
6. Step 6: Final answer
   x = 99,507.06