Finding the Third Proportional to 37,752 and 56,465

Step by Step Solution

1. Step 1: Write the proportion equation
   37,752 : 56,465 = 56,465 : x
2. Step 2: Convert to fraction form
   37,752/56,465 = 56,465/x
3. Step 3: Cross multiply
   37,752x = 56,465 × 56,465
4. Step 4: Simplify right side
   37,752x = 3,188,296,225
5. Step 5: Solve for x
   x = 3,188,296,225/37,752
6. Step 6: Final answer
   x = 84,453.70