Finding the Third Proportional to 29,538 and 44,114.06

Step by Step Solution

1. Step 1: Write the proportion equation
   29,538 : 44,114.06 = 44,114.06 : x
2. Step 2: Convert to fraction form
   29,538/44,114.06 = 44,114.06/x
3. Step 3: Cross multiply
   29,538x = 44,114.06 × 44,114.06
4. Step 4: Simplify right side
   29,538x = 1,946,050,510.25
5. Step 5: Solve for x
   x = 1,946,050,510.25/29,538
6. Step 6: Final answer
   x = 65,882.95