Finding the Third Proportional to 29,826 and 42,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,826 : 42,403.50 = 42,403.50 : x
2. Step 2: Convert to fraction form
   29,826/42,403.50 = 42,403.50/x
3. Step 3: Cross multiply
   29,826x = 42,403.50 × 42,403.50
4. Step 4: Simplify right side
   29,826x = 1,798,056,812.25
5. Step 5: Solve for x
   x = 1,798,056,812.25/29,826
6. Step 6: Final answer
   x = 60,284.88