Finding the Third Proportional to 35,617.50 and 83,801.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,617.50 : 83,801.88 = 83,801.88 : x
2. Step 2: Convert to fraction form
   35,617.50/83,801.88 = 83,801.88/x
3. Step 3: Cross multiply
   35,617.50x = 83,801.88 × 83,801.88
4. Step 4: Simplify right side
   35,617.50x = 7,022,754,253.52
5. Step 5: Solve for x
   x = 7,022,754,253.52/35,617.50
6. Step 6: Final answer
   x = 197,171.45