Finding the Third Proportional to 31,797 and 69,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,797 : 69,835.50 = 69,835.50 : x
2. Step 2: Convert to fraction form
   31,797/69,835.50 = 69,835.50/x
3. Step 3: Cross multiply
   31,797x = 69,835.50 × 69,835.50
4. Step 4: Simplify right side
   31,797x = 4,876,997,060.25
5. Step 5: Solve for x
   x = 4,876,997,060.25/31,797
6. Step 6: Final answer
   x = 153,379.16