Finding the Third Proportional to 49,681 and 72,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,681 : 72,937.50 = 72,937.50 : x
2. Step 2: Convert to fraction form
   49,681/72,937.50 = 72,937.50/x
3. Step 3: Cross multiply
   49,681x = 72,937.50 × 72,937.50
4. Step 4: Simplify right side
   49,681x = 5,319,878,906.25
5. Step 5: Solve for x
   x = 5,319,878,906.25/49,681
6. Step 6: Final answer
   x = 107,080.75