Finding the Third Proportional to 35,815 and 78,002

Step by Step Solution

1. Step 1: Write the proportion equation
   35,815 : 78,002 = 78,002 : x
2. Step 2: Convert to fraction form
   35,815/78,002 = 78,002/x
3. Step 3: Cross multiply
   35,815x = 78,002 × 78,002
4. Step 4: Simplify right side
   35,815x = 6,084,312,004
5. Step 5: Solve for x
   x = 6,084,312,004/35,815
6. Step 6: Final answer
   x = 169,881.67