Finding the Third Proportional to 31,235.63 and 67,802.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31,235.63 : 67,802.06 = 67,802.06 : x
2. Step 2: Convert to fraction form
   31,235.63/67,802.06 = 67,802.06/x
3. Step 3: Cross multiply
   31,235.63x = 67,802.06 × 67,802.06
4. Step 4: Simplify right side
   31,235.63x = 4,597,119,679.25
5. Step 5: Solve for x
   x = 4,597,119,679.25/31,235.63
6. Step 6: Final answer
   x = 147,175.53