Finding the Third Proportional to 47,501 and 75,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,501 : 75,212.50 = 75,212.50 : x
2. Step 2: Convert to fraction form
   47,501/75,212.50 = 75,212.50/x
3. Step 3: Cross multiply
   47,501x = 75,212.50 × 75,212.50
4. Step 4: Simplify right side
   47,501x = 5,656,920,156.25
5. Step 5: Solve for x
   x = 5,656,920,156.25/47,501
6. Step 6: Final answer
   x = 119,090.55