Finding the Third Proportional to 42,681 and 65,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,681 : 65,947.50 = 65,947.50 : x
2. Step 2: Convert to fraction form
   42,681/65,947.50 = 65,947.50/x
3. Step 3: Cross multiply
   42,681x = 65,947.50 × 65,947.50
4. Step 4: Simplify right side
   42,681x = 4,349,072,756.25
5. Step 5: Solve for x
   x = 4,349,072,756.25/42,681
6. Step 6: Final answer
   x = 101,897.16