Finding the Third Proportional to 29,769 and 41,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,769 : 41,621.50 = 41,621.50 : x
2. Step 2: Convert to fraction form
   29,769/41,621.50 = 41,621.50/x
3. Step 3: Cross multiply
   29,769x = 41,621.50 × 41,621.50
4. Step 4: Simplify right side
   29,769x = 1,732,349,262.25
5. Step 5: Solve for x
   x = 1,732,349,262.25/29,769
6. Step 6: Final answer
   x = 58,193.06