Finding the Third Proportional to 19,705 and 30,526.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,705 : 30,526.50 = 30,526.50 : x
2. Step 2: Convert to fraction form
   19,705/30,526.50 = 30,526.50/x
3. Step 3: Cross multiply
   19,705x = 30,526.50 × 30,526.50
4. Step 4: Simplify right side
   19,705x = 931,867,202.25
5. Step 5: Solve for x
   x = 931,867,202.25/19,705
6. Step 6: Final answer
   x = 47,290.90