Finding the Third Proportional to 37,851 and 78,131

Step by Step Solution

1. Step 1: Write the proportion equation
   37,851 : 78,131 = 78,131 : x
2. Step 2: Convert to fraction form
   37,851/78,131 = 78,131/x
3. Step 3: Cross multiply
   37,851x = 78,131 × 78,131
4. Step 4: Simplify right side
   37,851x = 6,104,453,161
5. Step 5: Solve for x
   x = 6,104,453,161/37,851
6. Step 6: Final answer
   x = 161,275.88