Finding the Third Proportional to 37,136 and 77,334

Step by Step Solution

1. Step 1: Write the proportion equation
   37,136 : 77,334 = 77,334 : x
2. Step 2: Convert to fraction form
   37,136/77,334 = 77,334/x
3. Step 3: Cross multiply
   37,136x = 77,334 × 77,334
4. Step 4: Simplify right side
   37,136x = 5,980,547,556
5. Step 5: Solve for x
   x = 5,980,547,556/37,136
6. Step 6: Final answer
   x = 161,044.47