Finding the Third Proportional to 35,702.86 and 84,586.36

Step by Step Solution

1. Step 1: Write the proportion equation
   35,702.86 : 84,586.36 = 84,586.36 : x
2. Step 2: Convert to fraction form
   35,702.86/84,586.36 = 84,586.36/x
3. Step 3: Cross multiply
   35,702.86x = 84,586.36 × 84,586.36
4. Step 4: Simplify right side
   35,702.86x = 7,154,852,192.32
5. Step 5: Solve for x
   x = 7,154,852,192.32/35,702.86
6. Step 6: Final answer
   x = 200,399.98