Finding the Third Proportional to 35,882.34 and 77,248.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,882.34 : 77,248.69 = 77,248.69 : x
2. Step 2: Convert to fraction form
   35,882.34/77,248.69 = 77,248.69/x
3. Step 3: Cross multiply
   35,882.34x = 77,248.69 × 77,248.69
4. Step 4: Simplify right side
   35,882.34x = 5,967,359,720.47
5. Step 5: Solve for x
   x = 5,967,359,720.47/35,882.34
6. Step 6: Final answer
   x = 166,303.51