Finding the Third Proportional to 57,953 and 89,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,953 : 89,686.50 = 89,686.50 : x
2. Step 2: Convert to fraction form
   57,953/89,686.50 = 89,686.50/x
3. Step 3: Cross multiply
   57,953x = 89,686.50 × 89,686.50
4. Step 4: Simplify right side
   57,953x = 8,043,668,282.25
5. Step 5: Solve for x
   x = 8,043,668,282.25/57,953
6. Step 6: Final answer
   x = 138,796.41