Finding the Third Proportional to 33,888 and 74,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,888 : 74,425.50 = 74,425.50 : x
2. Step 2: Convert to fraction form
   33,888/74,425.50 = 74,425.50/x
3. Step 3: Cross multiply
   33,888x = 74,425.50 × 74,425.50
4. Step 4: Simplify right side
   33,888x = 5,539,155,050.25
5. Step 5: Solve for x
   x = 5,539,155,050.25/33,888
6. Step 6: Final answer
   x = 163,454.76