Finding the Third Proportional to 37,752 and 83,550

Step by Step Solution

1. Step 1: Write the proportion equation
   37,752 : 83,550 = 83,550 : x
2. Step 2: Convert to fraction form
   37,752/83,550 = 83,550/x
3. Step 3: Cross multiply
   37,752x = 83,550 × 83,550
4. Step 4: Simplify right side
   37,752x = 6,980,602,500
5. Step 5: Solve for x
   x = 6,980,602,500/37,752
6. Step 6: Final answer
   x = 184,906.83