Finding the Third Proportional to 37,506 and 52,749

Step by Step Solution

1. Step 1: Write the proportion equation
   37,506 : 52,749 = 52,749 : x
2. Step 2: Convert to fraction form
   37,506/52,749 = 52,749/x
3. Step 3: Cross multiply
   37,506x = 52,749 × 52,749
4. Step 4: Simplify right side
   37,506x = 2,782,457,001
5. Step 5: Solve for x
   x = 2,782,457,001/37,506
6. Step 6: Final answer
   x = 74,186.98