Finding the Third Proportional to 22,782 and 33,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,782 : 33,055.50 = 33,055.50 : x
2. Step 2: Convert to fraction form
   22,782/33,055.50 = 33,055.50/x
3. Step 3: Cross multiply
   22,782x = 33,055.50 × 33,055.50
4. Step 4: Simplify right side
   22,782x = 1,092,666,080.25
5. Step 5: Solve for x
   x = 1,092,666,080.25/22,782
6. Step 6: Final answer
   x = 47,961.82