Finding the Third Proportional to 35,672.50 and 84,362

Step by Step Solution

1. Step 1: Write the proportion equation
   35,672.50 : 84,362 = 84,362 : x
2. Step 2: Convert to fraction form
   35,672.50/84,362 = 84,362/x
3. Step 3: Cross multiply
   35,672.50x = 84,362 × 84,362
4. Step 4: Simplify right side
   35,672.50x = 7,116,947,044
5. Step 5: Solve for x
   x = 7,116,947,044/35,672.50
6. Step 6: Final answer
   x = 199,507.94