Finding the Third Proportional to 29,538 and 43,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,538 : 43,780.50 = 43,780.50 : x
2. Step 2: Convert to fraction form
   29,538/43,780.50 = 43,780.50/x
3. Step 3: Cross multiply
   29,538x = 43,780.50 × 43,780.50
4. Step 4: Simplify right side
   29,538x = 1,916,732,180.25
5. Step 5: Solve for x
   x = 1,916,732,180.25/29,538
6. Step 6: Final answer
   x = 64,890.38