Finding the Third Proportional to 31,407.75 and 74,084.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,407.75 : 74,084.63 = 74,084.63 : x
2. Step 2: Convert to fraction form
   31,407.75/74,084.63 = 74,084.63/x
3. Step 3: Cross multiply
   31,407.75x = 74,084.63 × 74,084.63
4. Step 4: Simplify right side
   31,407.75x = 5,488,531,661.39
5. Step 5: Solve for x
   x = 5,488,531,661.39/31,407.75
6. Step 6: Final answer
   x = 174,750.87