Finding the Third Proportional to 31,706.50 and 74,983

Step by Step Solution

1. Step 1: Write the proportion equation
   31,706.50 : 74,983 = 74,983 : x
2. Step 2: Convert to fraction form
   31,706.50/74,983 = 74,983/x
3. Step 3: Cross multiply
   31,706.50x = 74,983 × 74,983
4. Step 4: Simplify right side
   31,706.50x = 5,622,450,289
5. Step 5: Solve for x
   x = 5,622,450,289/31,706.50
6. Step 6: Final answer
   x = 177,328.00