Finding the Third Proportional to 31,185 and 67,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,185 : 67,702.50 = 67,702.50 : x
2. Step 2: Convert to fraction form
   31,185/67,702.50 = 67,702.50/x
3. Step 3: Cross multiply
   31,185x = 67,702.50 × 67,702.50
4. Step 4: Simplify right side
   31,185x = 4,583,628,506.25
5. Step 5: Solve for x
   x = 4,583,628,506.25/31,185
6. Step 6: Final answer
   x = 146,981.83