Finding the Third Proportional to 31,705.59 and 74,980.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31,705.59 : 74,980.69 = 74,980.69 : x
2. Step 2: Convert to fraction form
   31,705.59/74,980.69 = 74,980.69/x
3. Step 3: Cross multiply
   31,705.59x = 74,980.69 × 74,980.69
4. Step 4: Simplify right side
   31,705.59x = 5,622,103,497.97
5. Step 5: Solve for x
   x = 5,622,103,497.97/31,705.59
6. Step 6: Final answer
   x = 177,322.13