Finding the Third Proportional to 35,776 and 78,632

Step by Step Solution

1. Step 1: Write the proportion equation
   35,776 : 78,632 = 78,632 : x
2. Step 2: Convert to fraction form
   35,776/78,632 = 78,632/x
3. Step 3: Cross multiply
   35,776x = 78,632 × 78,632
4. Step 4: Simplify right side
   35,776x = 6,182,991,424
5. Step 5: Solve for x
   x = 6,182,991,424/35,776
6. Step 6: Final answer
   x = 172,825.12