Finding the Third Proportional to 35,830 and 78,032

Step by Step Solution

1. Step 1: Write the proportion equation
   35,830 : 78,032 = 78,032 : x
2. Step 2: Convert to fraction form
   35,830/78,032 = 78,032/x
3. Step 3: Cross multiply
   35,830x = 78,032 × 78,032
4. Step 4: Simplify right side
   35,830x = 6,088,993,024
5. Step 5: Solve for x
   x = 6,088,993,024/35,830
6. Step 6: Final answer
   x = 169,941.20