Finding the Third Proportional to 34,856.50 and 76,547

Step by Step Solution

1. Step 1: Write the proportion equation
   34,856.50 : 76,547 = 76,547 : x
2. Step 2: Convert to fraction form
   34,856.50/76,547 = 76,547/x
3. Step 3: Cross multiply
   34,856.50x = 76,547 × 76,547
4. Step 4: Simplify right side
   34,856.50x = 5,859,443,209
5. Step 5: Solve for x
   x = 5,859,443,209/34,856.50
6. Step 6: Final answer
   x = 168,101.88