Finding the Third Proportional to 31,904 and 74,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,904 : 74,516.50 = 74,516.50 : x
2. Step 2: Convert to fraction form
   31,904/74,516.50 = 74,516.50/x
3. Step 3: Cross multiply
   31,904x = 74,516.50 × 74,516.50
4. Step 4: Simplify right side
   31,904x = 5,552,708,772.25
5. Step 5: Solve for x
   x = 5,552,708,772.25/31,904
6. Step 6: Final answer
   x = 174,044.28