Finding the Third Proportional to 35,823.75 and 77,866.13

Step by Step Solution

1. Step 1: Write the proportion equation
   35,823.75 : 77,866.13 = 77,866.13 : x
2. Step 2: Convert to fraction form
   35,823.75/77,866.13 = 77,866.13/x
3. Step 3: Cross multiply
   35,823.75x = 77,866.13 × 77,866.13
4. Step 4: Simplify right side
   35,823.75x = 6,063,133,422.52
5. Step 5: Solve for x
   x = 6,063,133,422.52/35,823.75
6. Step 6: Final answer
   x = 169,248.99