Finding the Third Proportional to 31,780 and 69,928

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780 : 69,928 = 69,928 : x
2. Step 2: Convert to fraction form
   31,780/69,928 = 69,928/x
3. Step 3: Cross multiply
   31,780x = 69,928 × 69,928
4. Step 4: Simplify right side
   31,780x = 4,889,925,184
5. Step 5: Solve for x
   x = 4,889,925,184/31,780
6. Step 6: Final answer
   x = 153,868.00