Finding the Third Proportional to 30,592 and 67,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,592 : 67,209.50 = 67,209.50 : x
2. Step 2: Convert to fraction form
   30,592/67,209.50 = 67,209.50/x
3. Step 3: Cross multiply
   30,592x = 67,209.50 × 67,209.50
4. Step 4: Simplify right side
   30,592x = 4,517,116,890.25
5. Step 5: Solve for x
   x = 4,517,116,890.25/30,592
6. Step 6: Final answer
   x = 147,656.80