Finding the Third Proportional to 38,414.25 and 88,897.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,414.25 : 88,897.50 = 88,897.50 : x
2. Step 2: Convert to fraction form
   38,414.25/88,897.50 = 88,897.50/x
3. Step 3: Cross multiply
   38,414.25x = 88,897.50 × 88,897.50
4. Step 4: Simplify right side
   38,414.25x = 7,902,765,506.25
5. Step 5: Solve for x
   x = 7,902,765,506.25/38,414.25
6. Step 6: Final answer
   x = 205,724.84