Finding the Third Proportional to 29,820 and 41,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,820 : 41,796.50 = 41,796.50 : x
2. Step 2: Convert to fraction form
   29,820/41,796.50 = 41,796.50/x
3. Step 3: Cross multiply
   29,820x = 41,796.50 × 41,796.50
4. Step 4: Simplify right side
   29,820x = 1,746,947,412.25
5. Step 5: Solve for x
   x = 1,746,947,412.25/29,820
6. Step 6: Final answer
   x = 58,583.08