Finding the Third Proportional to 35,816.34 and 77,135.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,816.34 : 77,135.63 = 77,135.63 : x
2. Step 2: Convert to fraction form
   35,816.34/77,135.63 = 77,135.63/x
3. Step 3: Cross multiply
   35,816.34x = 77,135.63 × 77,135.63
4. Step 4: Simplify right side
   35,816.34x = 5,949,904,644.14
5. Step 5: Solve for x
   x = 5,949,904,644.14/35,816.34
6. Step 6: Final answer
   x = 166,122.61