Finding the Third Proportional to 37,762 and 77,168

Step by Step Solution

1. Step 1: Write the proportion equation
   37,762 : 77,168 = 77,168 : x
2. Step 2: Convert to fraction form
   37,762/77,168 = 77,168/x
3. Step 3: Cross multiply
   37,762x = 77,168 × 77,168
4. Step 4: Simplify right side
   37,762x = 5,954,900,224
5. Step 5: Solve for x
   x = 5,954,900,224/37,762
6. Step 6: Final answer
   x = 157,695.57