Finding the Third Proportional to 31,802.63 and 71,852.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31,802.63 : 71,852.06 = 71,852.06 : x
2. Step 2: Convert to fraction form
   31,802.63/71,852.06 = 71,852.06/x
3. Step 3: Cross multiply
   31,802.63x = 71,852.06 × 71,852.06
4. Step 4: Simplify right side
   31,802.63x = 5,162,718,885.50
5. Step 5: Solve for x
   x = 5,162,718,885.50/31,802.63
6. Step 6: Final answer
   x = 162,336.25