Finding the Third Proportional to 37,707.08 and 78,024.09

Step by Step Solution

1. Step 1: Write the proportion equation
   37,707.08 : 78,024.09 = 78,024.09 : x
2. Step 2: Convert to fraction form
   37,707.08/78,024.09 = 78,024.09/x
3. Step 3: Cross multiply
   37,707.08x = 78,024.09 × 78,024.09
4. Step 4: Simplify right side
   37,707.08x = 6,087,759,205.51
5. Step 5: Solve for x
   x = 6,087,759,205.51/37,707.08
6. Step 6: Final answer
   x = 161,448.70