Finding the Third Proportional to 22,101 and 33,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,101 : 33,802.50 = 33,802.50 : x
2. Step 2: Convert to fraction form
   22,101/33,802.50 = 33,802.50/x
3. Step 3: Cross multiply
   22,101x = 33,802.50 × 33,802.50
4. Step 4: Simplify right side
   22,101x = 1,142,609,006.25
5. Step 5: Solve for x
   x = 1,142,609,006.25/22,101
6. Step 6: Final answer
   x = 51,699.43