Finding the Third Proportional to 35,798.63 and 77,488.31

Step by Step Solution

1. Step 1: Write the proportion equation
   35,798.63 : 77,488.31 = 77,488.31 : x
2. Step 2: Convert to fraction form
   35,798.63/77,488.31 = 77,488.31/x
3. Step 3: Cross multiply
   35,798.63x = 77,488.31 × 77,488.31
4. Step 4: Simplify right side
   35,798.63x = 6,004,438,574.10
5. Step 5: Solve for x
   x = 6,004,438,574.10/35,798.63
6. Step 6: Final answer
   x = 167,728.19