Finding the Third Proportional to 35,648.63 and 77,455.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648.63 : 77,455.88 = 77,455.88 : x
2. Step 2: Convert to fraction form
   35,648.63/77,455.88 = 77,455.88/x
3. Step 3: Cross multiply
   35,648.63x = 77,455.88 × 77,455.88
4. Step 4: Simplify right side
   35,648.63x = 5,999,412,572.02
5. Step 5: Solve for x
   x = 5,999,412,572.02/35,648.63
6. Step 6: Final answer
   x = 168,292.96