Finding the Third Proportional to 37,070 and 77,212

Step by Step Solution

1. Step 1: Write the proportion equation
   37,070 : 77,212 = 77,212 : x
2. Step 2: Convert to fraction form
   37,070/77,212 = 77,212/x
3. Step 3: Cross multiply
   37,070x = 77,212 × 77,212
4. Step 4: Simplify right side
   37,070x = 5,961,692,944
5. Step 5: Solve for x
   x = 5,961,692,944/37,070
6. Step 6: Final answer
   x = 160,822.58