Finding the Third Proportional to 35,582 and 77,428

Step by Step Solution

1. Step 1: Write the proportion equation
   35,582 : 77,428 = 77,428 : x
2. Step 2: Convert to fraction form
   35,582/77,428 = 77,428/x
3. Step 3: Cross multiply
   35,582x = 77,428 × 77,428
4. Step 4: Simplify right side
   35,582x = 5,995,095,184
5. Step 5: Solve for x
   x = 5,995,095,184/35,582
6. Step 6: Final answer
   x = 168,486.74