Finding the Third Proportional to 35,010 and 76,822.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,010 : 76,822.88 = 76,822.88 : x
2. Step 2: Convert to fraction form
   35,010/76,822.88 = 76,822.88/x
3. Step 3: Cross multiply
   35,010x = 76,822.88 × 76,822.88
4. Step 4: Simplify right side
   35,010x = 5,901,754,123.27
5. Step 5: Solve for x
   x = 5,901,754,123.27/35,010
6. Step 6: Final answer
   x = 168,573.38