Finding the Third Proportional to 37,739.25 and 77,117.06

Step by Step Solution

1. Step 1: Write the proportion equation
   37,739.25 : 77,117.06 = 77,117.06 : x
2. Step 2: Convert to fraction form
   37,739.25/77,117.06 = 77,117.06/x
3. Step 3: Cross multiply
   37,739.25x = 77,117.06 × 77,117.06
4. Step 4: Simplify right side
   37,739.25x = 5,947,041,328.63
5. Step 5: Solve for x
   x = 5,947,041,328.63/37,739.25
6. Step 6: Final answer
   x = 157,582.39