Finding the Third Proportional to 30,894.75 and 67,802.06

Step by Step Solution

1. Step 1: Write the proportion equation
   30,894.75 : 67,802.06 = 67,802.06 : x
2. Step 2: Convert to fraction form
   30,894.75/67,802.06 = 67,802.06/x
3. Step 3: Cross multiply
   30,894.75x = 67,802.06 × 67,802.06
4. Step 4: Simplify right side
   30,894.75x = 4,597,119,679.25
5. Step 5: Solve for x
   x = 4,597,119,679.25/30,894.75
6. Step 6: Final answer
   x = 148,799.38