Finding the Third Proportional to 31,160 and 67,605.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,160 : 67,605.50 = 67,605.50 : x
2. Step 2: Convert to fraction form
   31,160/67,605.50 = 67,605.50/x
3. Step 3: Cross multiply
   31,160x = 67,605.50 × 67,605.50
4. Step 4: Simplify right side
   31,160x = 4,570,503,630.25
5. Step 5: Solve for x
   x = 4,570,503,630.25/31,160
6. Step 6: Final answer
   x = 146,678.55