Finding the Third Proportional to 35,523 and 83,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,523 : 83,659.50 = 83,659.50 : x
2. Step 2: Convert to fraction form
   35,523/83,659.50 = 83,659.50/x
3. Step 3: Cross multiply
   35,523x = 83,659.50 × 83,659.50
4. Step 4: Simplify right side
   35,523x = 6,998,911,940.25
5. Step 5: Solve for x
   x = 6,998,911,940.25/35,523
6. Step 6: Final answer
   x = 197,024.80