Finding the Third Proportional to 35,747 and 78,160

Step by Step Solution

1. Step 1: Write the proportion equation
   35,747 : 78,160 = 78,160 : x
2. Step 2: Convert to fraction form
   35,747/78,160 = 78,160/x
3. Step 3: Cross multiply
   35,747x = 78,160 × 78,160
4. Step 4: Simplify right side
   35,747x = 6,108,985,600
5. Step 5: Solve for x
   x = 6,108,985,600/35,747
6. Step 6: Final answer
   x = 170,895.06