Finding the Third Proportional to 37,748 and 77,136

Step by Step Solution

1. Step 1: Write the proportion equation
   37,748 : 77,136 = 77,136 : x
2. Step 2: Convert to fraction form
   37,748/77,136 = 77,136/x
3. Step 3: Cross multiply
   37,748x = 77,136 × 77,136
4. Step 4: Simplify right side
   37,748x = 5,949,962,496
5. Step 5: Solve for x
   x = 5,949,962,496/37,748
6. Step 6: Final answer
   x = 157,623.25