Finding the Third Proportional to 53,523 and 72,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,523 : 72,670.50 = 72,670.50 : x
2. Step 2: Convert to fraction form
   53,523/72,670.50 = 72,670.50/x
3. Step 3: Cross multiply
   53,523x = 72,670.50 × 72,670.50
4. Step 4: Simplify right side
   53,523x = 5,281,001,570.25
5. Step 5: Solve for x
   x = 5,281,001,570.25/53,523
6. Step 6: Final answer
   x = 98,667.89