Finding the Third Proportional to 35,380.50 and 83,402.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,380.50 : 83,402.25 = 83,402.25 : x
2. Step 2: Convert to fraction form
   35,380.50/83,402.25 = 83,402.25/x
3. Step 3: Cross multiply
   35,380.50x = 83,402.25 × 83,402.25
4. Step 4: Simplify right side
   35,380.50x = 6,955,935,305.06
5. Step 5: Solve for x
   x = 6,955,935,305.06/35,380.50
6. Step 6: Final answer
   x = 196,603.65