Finding the Third Proportional to 37,116 and 77,292

Step by Step Solution

1. Step 1: Write the proportion equation
   37,116 : 77,292 = 77,292 : x
2. Step 2: Convert to fraction form
   37,116/77,292 = 77,292/x
3. Step 3: Cross multiply
   37,116x = 77,292 × 77,292
4. Step 4: Simplify right side
   37,116x = 5,974,053,264
5. Step 5: Solve for x
   x = 5,974,053,264/37,116
6. Step 6: Final answer
   x = 160,956.28