Finding the Third Proportional to 32,124 and 77,386

Step by Step Solution

1. Step 1: Write the proportion equation
   32,124 : 77,386 = 77,386 : x
2. Step 2: Convert to fraction form
   32,124/77,386 = 77,386/x
3. Step 3: Cross multiply
   32,124x = 77,386 × 77,386
4. Step 4: Simplify right side
   32,124x = 5,988,592,996
5. Step 5: Solve for x
   x = 5,988,592,996/32,124
6. Step 6: Final answer
   x = 186,421.15