Finding the Third Proportional to 49,383 and 70,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,383 : 70,567.50 = 70,567.50 : x
2. Step 2: Convert to fraction form
   49,383/70,567.50 = 70,567.50/x
3. Step 3: Cross multiply
   49,383x = 70,567.50 × 70,567.50
4. Step 4: Simplify right side
   49,383x = 4,979,772,056.25
5. Step 5: Solve for x
   x = 4,979,772,056.25/49,383
6. Step 6: Final answer
   x = 100,839.80