Finding the Third Proportional to 37,121.63 and 77,888.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,121.63 : 77,888.25 = 77,888.25 : x
2. Step 2: Convert to fraction form
   37,121.63/77,888.25 = 77,888.25/x
3. Step 3: Cross multiply
   37,121.63x = 77,888.25 × 77,888.25
4. Step 4: Simplify right side
   37,121.63x = 6,066,579,488.06
5. Step 5: Solve for x
   x = 6,066,579,488.06/37,121.63
6. Step 6: Final answer
   x = 163,424.41