Finding the Third Proportional to 49,637 and 74,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,637 : 74,465.50 = 74,465.50 : x
2. Step 2: Convert to fraction form
   49,637/74,465.50 = 74,465.50/x
3. Step 3: Cross multiply
   49,637x = 74,465.50 × 74,465.50
4. Step 4: Simplify right side
   49,637x = 5,545,110,690.25
5. Step 5: Solve for x
   x = 5,545,110,690.25/49,637
6. Step 6: Final answer
   x = 111,713.25