Finding the Third Proportional to 20,438.16 and 30,677.91

Step by Step Solution

1. Step 1: Write the proportion equation
   20,438.16 : 30,677.91 = 30,677.91 : x
2. Step 2: Convert to fraction form
   20,438.16/30,677.91 = 30,677.91/x
3. Step 3: Cross multiply
   20,438.16x = 30,677.91 × 30,677.91
4. Step 4: Simplify right side
   20,438.16x = 941,133,931.88
5. Step 5: Solve for x
   x = 941,133,931.88/20,438.16
6. Step 6: Final answer
   x = 46,047.89