Finding the Third Proportional to 49,216 and 74,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,216 : 74,411.50 = 74,411.50 : x
2. Step 2: Convert to fraction form
   49,216/74,411.50 = 74,411.50/x
3. Step 3: Cross multiply
   49,216x = 74,411.50 × 74,411.50
4. Step 4: Simplify right side
   49,216x = 5,537,071,332.25
5. Step 5: Solve for x
   x = 5,537,071,332.25/49,216
6. Step 6: Final answer
   x = 112,505.51