Finding the Third Proportional to 37,680 and 55,432

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680 : 55,432 = 55,432 : x
2. Step 2: Convert to fraction form
   37,680/55,432 = 55,432/x
3. Step 3: Cross multiply
   37,680x = 55,432 × 55,432
4. Step 4: Simplify right side
   37,680x = 3,072,706,624
5. Step 5: Solve for x
   x = 3,072,706,624/37,680
6. Step 6: Final answer
   x = 81,547.42