Finding the Third Proportional to 31,894 and 69,835

Step by Step Solution

1. Step 1: Write the proportion equation
   31,894 : 69,835 = 69,835 : x
2. Step 2: Convert to fraction form
   31,894/69,835 = 69,835/x
3. Step 3: Cross multiply
   31,894x = 69,835 × 69,835
4. Step 4: Simplify right side
   31,894x = 4,876,927,225
5. Step 5: Solve for x
   x = 4,876,927,225/31,894
6. Step 6: Final answer
   x = 152,910.49