Finding the Third Proportional to 57,600 and 89,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,600 : 89,398.50 = 89,398.50 : x
2. Step 2: Convert to fraction form
   57,600/89,398.50 = 89,398.50/x
3. Step 3: Cross multiply
   57,600x = 89,398.50 × 89,398.50
4. Step 4: Simplify right side
   57,600x = 7,992,091,802.25
5. Step 5: Solve for x
   x = 7,992,091,802.25/57,600
6. Step 6: Final answer
   x = 138,751.59