Finding the Third Proportional to 39,614.50 and 57,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,614.50 : 57,633.50 = 57,633.50 : x
2. Step 2: Convert to fraction form
   39,614.50/57,633.50 = 57,633.50/x
3. Step 3: Cross multiply
   39,614.50x = 57,633.50 × 57,633.50
4. Step 4: Simplify right side
   39,614.50x = 3,321,620,322.25
5. Step 5: Solve for x
   x = 3,321,620,322.25/39,614.50
6. Step 6: Final answer
   x = 83,848.60