Finding the Third Proportional to 19,506 and 31,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,506 : 31,036.50 = 31,036.50 : x
2. Step 2: Convert to fraction form
   19,506/31,036.50 = 31,036.50/x
3. Step 3: Cross multiply
   19,506x = 31,036.50 × 31,036.50
4. Step 4: Simplify right side
   19,506x = 963,264,332.25
5. Step 5: Solve for x
   x = 963,264,332.25/19,506
6. Step 6: Final answer
   x = 49,382.98