Finding the Third Proportional to 31,680 and 67,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 67,603.50 = 67,603.50 : x
2. Step 2: Convert to fraction form
   31,680/67,603.50 = 67,603.50/x
3. Step 3: Cross multiply
   31,680x = 67,603.50 × 67,603.50
4. Step 4: Simplify right side
   31,680x = 4,570,233,212.25
5. Step 5: Solve for x
   x = 4,570,233,212.25/31,680
6. Step 6: Final answer
   x = 144,262.41