Finding the Third Proportional to 32,116 and 77,370

Step by Step Solution

1. Step 1: Write the proportion equation
   32,116 : 77,370 = 77,370 : x
2. Step 2: Convert to fraction form
   32,116/77,370 = 77,370/x
3. Step 3: Cross multiply
   32,116x = 77,370 × 77,370
4. Step 4: Simplify right side
   32,116x = 5,986,116,900
5. Step 5: Solve for x
   x = 5,986,116,900/32,116
6. Step 6: Final answer
   x = 186,390.49