Finding the Third Proportional to 14,581 and 31,835

Step by Step Solution

1. Step 1: Write the proportion equation
   14,581 : 31,835 = 31,835 : x
2. Step 2: Convert to fraction form
   14,581/31,835 = 31,835/x
3. Step 3: Cross multiply
   14,581x = 31,835 × 31,835
4. Step 4: Simplify right side
   14,581x = 1,013,467,225
5. Step 5: Solve for x
   x = 1,013,467,225/14,581
6. Step 6: Final answer
   x = 69,506.02