Finding the Third Proportional to 37,632 and 56,445

Step by Step Solution

1. Step 1: Write the proportion equation
   37,632 : 56,445 = 56,445 : x
2. Step 2: Convert to fraction form
   37,632/56,445 = 56,445/x
3. Step 3: Cross multiply
   37,632x = 56,445 × 56,445
4. Step 4: Simplify right side
   37,632x = 3,186,038,025
5. Step 5: Solve for x
   x = 3,186,038,025/37,632
6. Step 6: Final answer
   x = 84,663.00