Finding the Third Proportional to 31,585 and 42,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,585 : 42,139.50 = 42,139.50 : x
2. Step 2: Convert to fraction form
   31,585/42,139.50 = 42,139.50/x
3. Step 3: Cross multiply
   31,585x = 42,139.50 × 42,139.50
4. Step 4: Simplify right side
   31,585x = 1,775,737,460.25
5. Step 5: Solve for x
   x = 1,775,737,460.25/31,585
6. Step 6: Final answer
   x = 56,220.91