Finding the Third Proportional to 71,712 and 105,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,712 : 105,097.50 = 105,097.50 : x
2. Step 2: Convert to fraction form
   71,712/105,097.50 = 105,097.50/x
3. Step 3: Cross multiply
   71,712x = 105,097.50 × 105,097.50
4. Step 4: Simplify right side
   71,712x = 11,045,484,506.25
5. Step 5: Solve for x
   x = 11,045,484,506.25/71,712
6. Step 6: Final answer
   x = 154,025.61