Finding the Third Proportional to 37,068 and 77,208

Step by Step Solution

1. Step 1: Write the proportion equation
   37,068 : 77,208 = 77,208 : x
2. Step 2: Convert to fraction form
   37,068/77,208 = 77,208/x
3. Step 3: Cross multiply
   37,068x = 77,208 × 77,208
4. Step 4: Simplify right side
   37,068x = 5,961,075,264
5. Step 5: Solve for x
   x = 5,961,075,264/37,068
6. Step 6: Final answer
   x = 160,814.59