Finding the Third Proportional to 31,009 and 42,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,009 : 42,463.50 = 42,463.50 : x
2. Step 2: Convert to fraction form
   31,009/42,463.50 = 42,463.50/x
3. Step 3: Cross multiply
   31,009x = 42,463.50 × 42,463.50
4. Step 4: Simplify right side
   31,009x = 1,803,148,832.25
5. Step 5: Solve for x
   x = 1,803,148,832.25/31,009
6. Step 6: Final answer
   x = 58,149.21