Finding the Third Proportional to 31,880.81 and 74,462.06

Step by Step Solution

1. Step 1: Write the proportion equation
   31,880.81 : 74,462.06 = 74,462.06 : x
2. Step 2: Convert to fraction form
   31,880.81/74,462.06 = 74,462.06/x
3. Step 3: Cross multiply
   31,880.81x = 74,462.06 × 74,462.06
4. Step 4: Simplify right side
   31,880.81x = 5,544,598,751.75
5. Step 5: Solve for x
   x = 5,544,598,751.75/31,880.81
6. Step 6: Final answer
   x = 173,916.48