Finding the Third Proportional to 31,563 and 69,064.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31,563 : 69,064.31 = 69,064.31 : x
2. Step 2: Convert to fraction form
   31,563/69,064.31 = 69,064.31/x
3. Step 3: Cross multiply
   31,563x = 69,064.31 × 69,064.31
4. Step 4: Simplify right side
   31,563x = 4,769,879,261.10
5. Step 5: Solve for x
   x = 4,769,879,261.10/31,563
6. Step 6: Final answer
   x = 151,122.49