Finding the Third Proportional to 31,670 and 67,226.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,670 : 67,226.50 = 67,226.50 : x
2. Step 2: Convert to fraction form
   31,670/67,226.50 = 67,226.50/x
3. Step 3: Cross multiply
   31,670x = 67,226.50 × 67,226.50
4. Step 4: Simplify right side
   31,670x = 4,519,402,302.25
5. Step 5: Solve for x
   x = 4,519,402,302.25/31,670
6. Step 6: Final answer
   x = 142,702.95