Finding the Third Proportional to 31,830 and 69,196

Step by Step Solution

1. Step 1: Write the proportion equation
   31,830 : 69,196 = 69,196 : x
2. Step 2: Convert to fraction form
   31,830/69,196 = 69,196/x
3. Step 3: Cross multiply
   31,830x = 69,196 × 69,196
4. Step 4: Simplify right side
   31,830x = 4,788,086,416
5. Step 5: Solve for x
   x = 4,788,086,416/31,830
6. Step 6: Final answer
   x = 150,426.84