Finding the Third Proportional to 32,083.88 and 77,293.69

Step by Step Solution

1. Step 1: Write the proportion equation
   32,083.88 : 77,293.69 = 77,293.69 : x
2. Step 2: Convert to fraction form
   32,083.88/77,293.69 = 77,293.69/x
3. Step 3: Cross multiply
   32,083.88x = 77,293.69 × 77,293.69
4. Step 4: Simplify right side
   32,083.88x = 5,974,314,127.35
5. Step 5: Solve for x
   x = 5,974,314,127.35/32,083.88
6. Step 6: Final answer
   x = 186,209.24