Finding the Third Proportional to 31,147 and 73,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,147 : 73,122.50 = 73,122.50 : x
2. Step 2: Convert to fraction form
   31,147/73,122.50 = 73,122.50/x
3. Step 3: Cross multiply
   31,147x = 73,122.50 × 73,122.50
4. Step 4: Simplify right side
   31,147x = 5,346,900,006.25
5. Step 5: Solve for x
   x = 5,346,900,006.25/31,147
6. Step 6: Final answer
   x = 171,666.61