Finding the Third Proportional to 31,111 and 42,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,111 : 42,058.50 = 42,058.50 : x
2. Step 2: Convert to fraction form
   31,111/42,058.50 = 42,058.50/x
3. Step 3: Cross multiply
   31,111x = 42,058.50 × 42,058.50
4. Step 4: Simplify right side
   31,111x = 1,768,917,422.25
5. Step 5: Solve for x
   x = 1,768,917,422.25/31,111
6. Step 6: Final answer
   x = 56,858.26