Finding the Third Proportional to 42,761 and 91,748.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,761 : 91,748.75 = 91,748.75 : x
2. Step 2: Convert to fraction form
   42,761/91,748.75 = 91,748.75/x
3. Step 3: Cross multiply
   42,761x = 91,748.75 × 91,748.75
4. Step 4: Simplify right side
   42,761x = 8,417,833,126.56
5. Step 5: Solve for x
   x = 8,417,833,126.56/42,761
6. Step 6: Final answer
   x = 196,857.72