Finding the Third Proportional to 19,506 and 30,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,506 : 30,259.50 = 30,259.50 : x
2. Step 2: Convert to fraction form
   19,506/30,259.50 = 30,259.50/x
3. Step 3: Cross multiply
   19,506x = 30,259.50 × 30,259.50
4. Step 4: Simplify right side
   19,506x = 915,637,340.25
5. Step 5: Solve for x
   x = 915,637,340.25/19,506
6. Step 6: Final answer
   x = 46,941.32