Finding the Third Proportional to 31,973 and 74,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,973 : 74,678.50 = 74,678.50 : x
2. Step 2: Convert to fraction form
   31,973/74,678.50 = 74,678.50/x
3. Step 3: Cross multiply
   31,973x = 74,678.50 × 74,678.50
4. Step 4: Simplify right side
   31,973x = 5,576,878,362.25
5. Step 5: Solve for x
   x = 5,576,878,362.25/31,973
6. Step 6: Final answer
   x = 174,424.62