Finding the Third Proportional to 35,734.50 and 83,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,734.50 : 83,086.50 = 83,086.50 : x
2. Step 2: Convert to fraction form
   35,734.50/83,086.50 = 83,086.50/x
3. Step 3: Cross multiply
   35,734.50x = 83,086.50 × 83,086.50
4. Step 4: Simplify right side
   35,734.50x = 6,903,366,482.25
5. Step 5: Solve for x
   x = 6,903,366,482.25/35,734.50
6. Step 6: Final answer
   x = 193,184.92