Finding the Third Proportional to 19,755 and 31,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,755 : 31,585.50 = 31,585.50 : x
2. Step 2: Convert to fraction form
   19,755/31,585.50 = 31,585.50/x
3. Step 3: Cross multiply
   19,755x = 31,585.50 × 31,585.50
4. Step 4: Simplify right side
   19,755x = 997,643,810.25
5. Step 5: Solve for x
   x = 997,643,810.25/19,755
6. Step 6: Final answer
   x = 50,500.83