Finding the Third Proportional to 32,547 and 52,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,547 : 52,096.50 = 52,096.50 : x
2. Step 2: Convert to fraction form
   32,547/52,096.50 = 52,096.50/x
3. Step 3: Cross multiply
   32,547x = 52,096.50 × 52,096.50
4. Step 4: Simplify right side
   32,547x = 2,714,045,312.25
5. Step 5: Solve for x
   x = 2,714,045,312.25/32,547
6. Step 6: Final answer
   x = 83,388.49