Finding the Third Proportional to 32,093 and 77,314

Step by Step Solution

1. Step 1: Write the proportion equation
   32,093 : 77,314 = 77,314 : x
2. Step 2: Convert to fraction form
   32,093/77,314 = 77,314/x
3. Step 3: Cross multiply
   32,093x = 77,314 × 77,314
4. Step 4: Simplify right side
   32,093x = 5,977,454,596
5. Step 5: Solve for x
   x = 5,977,454,596/32,093
6. Step 6: Final answer
   x = 186,254.15